Evaluate
\frac{425481382309572640439387648911914290000}{131068133085775282769190451412780001}\approx 3246.261103232
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\frac{200000}{114}+\frac{2000}{1.14^{2}}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{1.14} by multiplying both numerator and the denominator by 100.
\frac{100000}{57}+\frac{2000}{1.14^{2}}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000}{114} to lowest terms by extracting and canceling out 2.
\frac{100000}{57}+\frac{2000}{1.2996}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 2 and get 1.2996.
\frac{100000}{57}+\frac{20000000}{12996}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{1.2996} by multiplying both numerator and the denominator by 10000.
\frac{100000}{57}+\frac{5000000}{3249}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000}{12996} to lowest terms by extracting and canceling out 4.
\frac{5700000}{3249}+\frac{5000000}{3249}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 57 and 3249 is 3249. Convert \frac{100000}{57} and \frac{5000000}{3249} to fractions with denominator 3249.
\frac{5700000+5000000}{3249}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{5700000}{3249} and \frac{5000000}{3249} have the same denominator, add them by adding their numerators.
\frac{10700000}{3249}+\frac{2000}{1.14^{3}}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 5700000 and 5000000 to get 10700000.
\frac{10700000}{3249}+\frac{2000}{1.481544}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 3 and get 1.481544.
\frac{10700000}{3249}+\frac{2000000000}{1481544}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{1.481544} by multiplying both numerator and the denominator by 1000000.
\frac{10700000}{3249}+\frac{250000000}{185193}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000}{1481544} to lowest terms by extracting and canceling out 8.
\frac{609900000}{185193}+\frac{250000000}{185193}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 3249 and 185193 is 185193. Convert \frac{10700000}{3249} and \frac{250000000}{185193} to fractions with denominator 185193.
\frac{609900000+250000000}{185193}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{609900000}{185193} and \frac{250000000}{185193} have the same denominator, add them by adding their numerators.
\frac{859900000}{185193}+\frac{2000}{1.14^{4}}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 609900000 and 250000000 to get 859900000.
\frac{859900000}{185193}+\frac{2000}{1.68896016}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 4 and get 1.68896016.
\frac{859900000}{185193}+\frac{200000000000}{168896016}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{1.68896016} by multiplying both numerator and the denominator by 100000000.
\frac{859900000}{185193}+\frac{12500000000}{10556001}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000}{168896016} to lowest terms by extracting and canceling out 16.
\frac{49014300000}{10556001}+\frac{12500000000}{10556001}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 185193 and 10556001 is 10556001. Convert \frac{859900000}{185193} and \frac{12500000000}{10556001} to fractions with denominator 10556001.
\frac{49014300000+12500000000}{10556001}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{49014300000}{10556001} and \frac{12500000000}{10556001} have the same denominator, add them by adding their numerators.
\frac{61514300000}{10556001}+\frac{2000}{1.14^{5}}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 49014300000 and 12500000000 to get 61514300000.
\frac{61514300000}{10556001}+\frac{2000}{1.9254145824}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 5 and get 1.9254145824.
\frac{61514300000}{10556001}+\frac{20000000000000}{19254145824}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{1.9254145824} by multiplying both numerator and the denominator by 10000000000.
\frac{61514300000}{10556001}+\frac{625000000000}{601692057}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000000000}{19254145824} to lowest terms by extracting and canceling out 32.
\frac{3506315100000}{601692057}+\frac{625000000000}{601692057}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 10556001 and 601692057 is 601692057. Convert \frac{61514300000}{10556001} and \frac{625000000000}{601692057} to fractions with denominator 601692057.
\frac{3506315100000+625000000000}{601692057}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{3506315100000}{601692057} and \frac{625000000000}{601692057} have the same denominator, add them by adding their numerators.
\frac{4131315100000}{601692057}+\frac{2000}{1.14^{6}}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 3506315100000 and 625000000000 to get 4131315100000.
\frac{4131315100000}{601692057}+\frac{2000}{2.194972623936}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 6 and get 2.194972623936.
\frac{4131315100000}{601692057}+\frac{2000000000000000}{2194972623936}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{2.194972623936} by multiplying both numerator and the denominator by 1000000000000.
\frac{4131315100000}{601692057}+\frac{31250000000000}{34296447249}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000000000}{2194972623936} to lowest terms by extracting and canceling out 64.
\frac{235484960700000}{34296447249}+\frac{31250000000000}{34296447249}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 601692057 and 34296447249 is 34296447249. Convert \frac{4131315100000}{601692057} and \frac{31250000000000}{34296447249} to fractions with denominator 34296447249.
\frac{235484960700000+31250000000000}{34296447249}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{235484960700000}{34296447249} and \frac{31250000000000}{34296447249} have the same denominator, add them by adding their numerators.
\frac{266734960700000}{34296447249}+\frac{2000}{1.14^{7}}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 235484960700000 and 31250000000000 to get 266734960700000.
\frac{266734960700000}{34296447249}+\frac{2000}{2.50226879128704}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 7 and get 2.50226879128704.
\frac{266734960700000}{34296447249}+\frac{200000000000000000}{250226879128704}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{2.50226879128704} by multiplying both numerator and the denominator by 100000000000000.
\frac{266734960700000}{34296447249}+\frac{1562500000000000}{1954897493193}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000000000}{250226879128704} to lowest terms by extracting and canceling out 128.
\frac{15203892759900000}{1954897493193}+\frac{1562500000000000}{1954897493193}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 34296447249 and 1954897493193 is 1954897493193. Convert \frac{266734960700000}{34296447249} and \frac{1562500000000000}{1954897493193} to fractions with denominator 1954897493193.
\frac{15203892759900000+1562500000000000}{1954897493193}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{15203892759900000}{1954897493193} and \frac{1562500000000000}{1954897493193} have the same denominator, add them by adding their numerators.
\frac{16766392759900000}{1954897493193}+\frac{2000}{1.14^{8}}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 15203892759900000 and 1562500000000000 to get 16766392759900000.
\frac{16766392759900000}{1954897493193}+\frac{2000}{2.8525864220672256}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 8 and get 2.8525864220672256.
\frac{16766392759900000}{1954897493193}+\frac{20000000000000000000}{28525864220672256}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{2.8525864220672256} by multiplying both numerator and the denominator by 10000000000000000.
\frac{16766392759900000}{1954897493193}+\frac{78125000000000000}{111429157112001}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000000000000000}{28525864220672256} to lowest terms by extracting and canceling out 256.
\frac{955684387314300000}{111429157112001}+\frac{78125000000000000}{111429157112001}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 1954897493193 and 111429157112001 is 111429157112001. Convert \frac{16766392759900000}{1954897493193} and \frac{78125000000000000}{111429157112001} to fractions with denominator 111429157112001.
\frac{955684387314300000+78125000000000000}{111429157112001}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{955684387314300000}{111429157112001} and \frac{78125000000000000}{111429157112001} have the same denominator, add them by adding their numerators.
\frac{1033809387314300000}{111429157112001}+\frac{2000}{1.14^{9}}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 955684387314300000 and 78125000000000000 to get 1033809387314300000.
\frac{1033809387314300000}{111429157112001}+\frac{2000}{3.251948521156637184}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 9 and get 3.251948521156637184.
\frac{1033809387314300000}{111429157112001}+\frac{2000000000000000000000}{3251948521156637184}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{3.251948521156637184} by multiplying both numerator and the denominator by 1000000000000000000.
\frac{1033809387314300000}{111429157112001}+\frac{3906250000000000000}{6351461955384057}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000000000000000}{3251948521156637184} to lowest terms by extracting and canceling out 512.
\frac{58927135076915100000}{6351461955384057}+\frac{3906250000000000000}{6351461955384057}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 111429157112001 and 6351461955384057 is 6351461955384057. Convert \frac{1033809387314300000}{111429157112001} and \frac{3906250000000000000}{6351461955384057} to fractions with denominator 6351461955384057.
\frac{58927135076915100000+3906250000000000000}{6351461955384057}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{58927135076915100000}{6351461955384057} and \frac{3906250000000000000}{6351461955384057} have the same denominator, add them by adding their numerators.
\frac{62833385076915100000}{6351461955384057}+\frac{2000}{1.14^{10}}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 58927135076915100000 and 3906250000000000000 to get 62833385076915100000.
\frac{62833385076915100000}{6351461955384057}+\frac{2000}{3.70722131411856638976}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 10 and get 3.70722131411856638976.
\frac{62833385076915100000}{6351461955384057}+\frac{200000000000000000000000}{370722131411856638976}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{3.70722131411856638976} by multiplying both numerator and the denominator by 100000000000000000000.
\frac{62833385076915100000}{6351461955384057}+\frac{195312500000000000000}{362033331456891249}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000000000000000}{370722131411856638976} to lowest terms by extracting and canceling out 1024.
\frac{3581502949384160700000}{362033331456891249}+\frac{195312500000000000000}{362033331456891249}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 6351461955384057 and 362033331456891249 is 362033331456891249. Convert \frac{62833385076915100000}{6351461955384057} and \frac{195312500000000000000}{362033331456891249} to fractions with denominator 362033331456891249.
\frac{3581502949384160700000+195312500000000000000}{362033331456891249}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{3581502949384160700000}{362033331456891249} and \frac{195312500000000000000}{362033331456891249} have the same denominator, add them by adding their numerators.
\frac{3776815449384160700000}{362033331456891249}+\frac{2000}{1.14^{11}}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 3581502949384160700000 and 195312500000000000000 to get 3776815449384160700000.
\frac{3776815449384160700000}{362033331456891249}+\frac{2000}{4.2262322980951656843264}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 11 and get 4.2262322980951656843264.
\frac{3776815449384160700000}{362033331456891249}+\frac{20000000000000000000000000}{42262322980951656843264}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{4.2262322980951656843264} by multiplying both numerator and the denominator by 10000000000000000000000.
\frac{3776815449384160700000}{362033331456891249}+\frac{9765625000000000000000}{20635899893042801193}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000000000000000000000}{42262322980951656843264} to lowest terms by extracting and canceling out 2048.
\frac{215278480614897159900000}{20635899893042801193}+\frac{9765625000000000000000}{20635899893042801193}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 362033331456891249 and 20635899893042801193 is 20635899893042801193. Convert \frac{3776815449384160700000}{362033331456891249} and \frac{9765625000000000000000}{20635899893042801193} to fractions with denominator 20635899893042801193.
\frac{215278480614897159900000+9765625000000000000000}{20635899893042801193}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{215278480614897159900000}{20635899893042801193} and \frac{9765625000000000000000}{20635899893042801193} have the same denominator, add them by adding their numerators.
\frac{225044105614897159900000}{20635899893042801193}+\frac{2000}{1.14^{12}}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 215278480614897159900000 and 9765625000000000000000 to get 225044105614897159900000.
\frac{225044105614897159900000}{20635899893042801193}+\frac{2000}{4.817904819828488880132096}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 12 and get 4.817904819828488880132096.
\frac{225044105614897159900000}{20635899893042801193}+\frac{2000000000000000000000000000}{4817904819828488880132096}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{4.817904819828488880132096} by multiplying both numerator and the denominator by 1000000000000000000000000.
\frac{225044105614897159900000}{20635899893042801193}+\frac{488281250000000000000000}{1176246293903439668001}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000000000000000000000}{4817904819828488880132096} to lowest terms by extracting and canceling out 4096.
\frac{12827514020049138114300000}{1176246293903439668001}+\frac{488281250000000000000000}{1176246293903439668001}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 20635899893042801193 and 1176246293903439668001 is 1176246293903439668001. Convert \frac{225044105614897159900000}{20635899893042801193} and \frac{488281250000000000000000}{1176246293903439668001} to fractions with denominator 1176246293903439668001.
\frac{12827514020049138114300000+488281250000000000000000}{1176246293903439668001}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{12827514020049138114300000}{1176246293903439668001} and \frac{488281250000000000000000}{1176246293903439668001} have the same denominator, add them by adding their numerators.
\frac{13315795270049138114300000}{1176246293903439668001}+\frac{2000}{1.14^{13}}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 12827514020049138114300000 and 488281250000000000000000 to get 13315795270049138114300000.
\frac{13315795270049138114300000}{1176246293903439668001}+\frac{2000}{5.49241149460447732335058944}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 13 and get 5.49241149460447732335058944.
\frac{13315795270049138114300000}{1176246293903439668001}+\frac{200000000000000000000000000000}{549241149460447732335058944}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{5.49241149460447732335058944} by multiplying both numerator and the denominator by 100000000000000000000000000.
\frac{13315795270049138114300000}{1176246293903439668001}+\frac{24414062500000000000000000}{67046038752496061076057}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000000000000000000000}{549241149460447732335058944} to lowest terms by extracting and canceling out 8192.
\frac{759000330392800872515100000}{67046038752496061076057}+\frac{24414062500000000000000000}{67046038752496061076057}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 1176246293903439668001 and 67046038752496061076057 is 67046038752496061076057. Convert \frac{13315795270049138114300000}{1176246293903439668001} and \frac{24414062500000000000000000}{67046038752496061076057} to fractions with denominator 67046038752496061076057.
\frac{759000330392800872515100000+24414062500000000000000000}{67046038752496061076057}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{759000330392800872515100000}{67046038752496061076057} and \frac{24414062500000000000000000}{67046038752496061076057} have the same denominator, add them by adding their numerators.
\frac{783414392892800872515100000}{67046038752496061076057}+\frac{2000}{1.14^{14}}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 759000330392800872515100000 and 24414062500000000000000000 to get 783414392892800872515100000.
\frac{783414392892800872515100000}{67046038752496061076057}+\frac{2000}{6.2613491038491041486196719616}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 14 and get 6.2613491038491041486196719616.
\frac{783414392892800872515100000}{67046038752496061076057}+\frac{20000000000000000000000000000000}{62613491038491041486196719616}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{6.2613491038491041486196719616} by multiplying both numerator and the denominator by 10000000000000000000000000000.
\frac{783414392892800872515100000}{67046038752496061076057}+\frac{1220703125000000000000000000}{3821624208892275481335249}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000000000000000000000000000}{62613491038491041486196719616} to lowest terms by extracting and canceling out 16384.
\frac{44654620394889649733360700000}{3821624208892275481335249}+\frac{1220703125000000000000000000}{3821624208892275481335249}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 67046038752496061076057 and 3821624208892275481335249 is 3821624208892275481335249. Convert \frac{783414392892800872515100000}{67046038752496061076057} and \frac{1220703125000000000000000000}{3821624208892275481335249} to fractions with denominator 3821624208892275481335249.
\frac{44654620394889649733360700000+1220703125000000000000000000}{3821624208892275481335249}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{44654620394889649733360700000}{3821624208892275481335249} and \frac{1220703125000000000000000000}{3821624208892275481335249} have the same denominator, add them by adding their numerators.
\frac{45875323519889649733360700000}{3821624208892275481335249}+\frac{2000}{1.14^{15}}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 44654620394889649733360700000 and 1220703125000000000000000000 to get 45875323519889649733360700000.
\frac{45875323519889649733360700000}{3821624208892275481335249}+\frac{2000}{7.137937978387978729426426036224}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 15 and get 7.137937978387978729426426036224.
\frac{45875323519889649733360700000}{3821624208892275481335249}+\frac{2000000000000000000000000000000000}{7137937978387978729426426036224}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{7.137937978387978729426426036224} by multiplying both numerator and the denominator by 1000000000000000000000000000000.
\frac{45875323519889649733360700000}{3821624208892275481335249}+\frac{61035156250000000000000000000}{217832579906859702436109193}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000000000000000000000000000}{7137937978387978729426426036224} to lowest terms by extracting and canceling out 32768.
\frac{2614893440633710034801559900000}{217832579906859702436109193}+\frac{61035156250000000000000000000}{217832579906859702436109193}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 3821624208892275481335249 and 217832579906859702436109193 is 217832579906859702436109193. Convert \frac{45875323519889649733360700000}{3821624208892275481335249} and \frac{61035156250000000000000000000}{217832579906859702436109193} to fractions with denominator 217832579906859702436109193.
\frac{2614893440633710034801559900000+61035156250000000000000000000}{217832579906859702436109193}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{2614893440633710034801559900000}{217832579906859702436109193} and \frac{61035156250000000000000000000}{217832579906859702436109193} have the same denominator, add them by adding their numerators.
\frac{2675928596883710034801559900000}{217832579906859702436109193}+\frac{2000}{1.14^{16}}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 2614893440633710034801559900000 and 61035156250000000000000000000 to get 2675928596883710034801559900000.
\frac{2675928596883710034801559900000}{217832579906859702436109193}+\frac{2000}{8.13724929536229575154612568129536}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 16 and get 8.13724929536229575154612568129536.
\frac{2675928596883710034801559900000}{217832579906859702436109193}+\frac{200000000000000000000000000000000000}{813724929536229575154612568129536}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{8.13724929536229575154612568129536} by multiplying both numerator and the denominator by 100000000000000000000000000000000.
\frac{2675928596883710034801559900000}{217832579906859702436109193}+\frac{3051757812500000000000000000000}{12416457054691003038858224001}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000000000000000000000000000}{813724929536229575154612568129536} to lowest terms by extracting and canceling out 65536.
\frac{152527930022371471983688914300000}{12416457054691003038858224001}+\frac{3051757812500000000000000000000}{12416457054691003038858224001}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 217832579906859702436109193 and 12416457054691003038858224001 is 12416457054691003038858224001. Convert \frac{2675928596883710034801559900000}{217832579906859702436109193} and \frac{3051757812500000000000000000000}{12416457054691003038858224001} to fractions with denominator 12416457054691003038858224001.
\frac{152527930022371471983688914300000+3051757812500000000000000000000}{12416457054691003038858224001}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{152527930022371471983688914300000}{12416457054691003038858224001} and \frac{3051757812500000000000000000000}{12416457054691003038858224001} have the same denominator, add them by adding their numerators.
\frac{155579687834871471983688914300000}{12416457054691003038858224001}+\frac{2000}{1.14^{17}}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 152527930022371471983688914300000 and 3051757812500000000000000000000 to get 155579687834871471983688914300000.
\frac{155579687834871471983688914300000}{12416457054691003038858224001}+\frac{2000}{9.2764641967130171567625832766767104}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 17 and get 9.2764641967130171567625832766767104.
\frac{155579687834871471983688914300000}{12416457054691003038858224001}+\frac{20000000000000000000000000000000000000}{92764641967130171567625832766767104}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{9.2764641967130171567625832766767104} by multiplying both numerator and the denominator by 10000000000000000000000000000000000.
\frac{155579687834871471983688914300000}{12416457054691003038858224001}+\frac{152587890625000000000000000000000}{707738052117387173214918768057}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{20000000000000000000000000000000000000}{92764641967130171567625832766767104} to lowest terms by extracting and canceling out 131072.
\frac{8868042206587673903070268115100000}{707738052117387173214918768057}+\frac{152587890625000000000000000000000}{707738052117387173214918768057}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 12416457054691003038858224001 and 707738052117387173214918768057 is 707738052117387173214918768057. Convert \frac{155579687834871471983688914300000}{12416457054691003038858224001} and \frac{152587890625000000000000000000000}{707738052117387173214918768057} to fractions with denominator 707738052117387173214918768057.
\frac{8868042206587673903070268115100000+152587890625000000000000000000000}{707738052117387173214918768057}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{8868042206587673903070268115100000}{707738052117387173214918768057} and \frac{152587890625000000000000000000000}{707738052117387173214918768057} have the same denominator, add them by adding their numerators.
\frac{9020630097212673903070268115100000}{707738052117387173214918768057}+\frac{2000}{1.14^{18}}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 8868042206587673903070268115100000 and 152587890625000000000000000000000 to get 9020630097212673903070268115100000.
\frac{9020630097212673903070268115100000}{707738052117387173214918768057}+\frac{2000}{10.575169184252839558709344935411449856}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 18 and get 10.575169184252839558709344935411449856.
\frac{9020630097212673903070268115100000}{707738052117387173214918768057}+\frac{2000000000000000000000000000000000000000}{10575169184252839558709344935411449856}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{10.575169184252839558709344935411449856} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000.
\frac{9020630097212673903070268115100000}{707738052117387173214918768057}+\frac{7629394531250000000000000000000000}{40341068970691068873250369779249}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{2000000000000000000000000000000000000000}{10575169184252839558709344935411449856} to lowest terms by extracting and canceling out 262144.
\frac{514175915541122412475005282560700000}{40341068970691068873250369779249}+\frac{7629394531250000000000000000000000}{40341068970691068873250369779249}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 707738052117387173214918768057 and 40341068970691068873250369779249 is 40341068970691068873250369779249. Convert \frac{9020630097212673903070268115100000}{707738052117387173214918768057} and \frac{7629394531250000000000000000000000}{40341068970691068873250369779249} to fractions with denominator 40341068970691068873250369779249.
\frac{514175915541122412475005282560700000+7629394531250000000000000000000000}{40341068970691068873250369779249}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Since \frac{514175915541122412475005282560700000}{40341068970691068873250369779249} and \frac{7629394531250000000000000000000000}{40341068970691068873250369779249} have the same denominator, add them by adding their numerators.
\frac{521805310072372412475005282560700000}{40341068970691068873250369779249}+\frac{2000}{1.14^{19}}+\frac{2000}{1.14^{20}}-10000
Add 514175915541122412475005282560700000 and 7629394531250000000000000000000000 to get 521805310072372412475005282560700000.
\frac{521805310072372412475005282560700000}{40341068970691068873250369779249}+\frac{2000}{12.05569287004823709692865322636905283584}+\frac{2000}{1.14^{20}}-10000
Calculate 1.14 to the power of 19 and get 12.05569287004823709692865322636905283584.
\frac{521805310072372412475005282560700000}{40341068970691068873250369779249}+\frac{200000000000000000000000000000000000000000}{1205569287004823709692865322636905283584}+\frac{2000}{1.14^{20}}-10000
Expand \frac{2000}{12.05569287004823709692865322636905283584} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000.
\frac{521805310072372412475005282560700000}{40341068970691068873250369779249}+\frac{381469726562500000000000000000000000}{2299440931329390925775271077417193}+\frac{2000}{1.14^{20}}-10000
Reduce the fraction \frac{200000000000000000000000000000000000000000}{1205569287004823709692865322636905283584} to lowest terms by extracting and canceling out 524288.
\frac{29742902674125227511075301105959900000}{2299440931329390925775271077417193}+\frac{381469726562500000000000000000000000}{2299440931329390925775271077417193}+\frac{2000}{1.14^{20}}-10000
Least common multiple of 40341068970691068873250369779249 and 2299440931329390925775271077417193 is 2299440931329390925775271077417193. Convert \frac{521805310072372412475005282560700000}{40341068970691068873250369779249} and \frac{381469726562500000000000000000000000}{2299440931329390925775271077417193} to fractions with denominator 2299440931329390925775271077417193.
\frac{29742902674125227511075301105959900000+381469726562500000000000000000000000}{2299440931329390925775271077417193}+\frac{2000}{1.14^{20}}-10000
Since \frac{29742902674125227511075301105959900000}{2299440931329390925775271077417193} and \frac{381469726562500000000000000000000000}{2299440931329390925775271077417193} have the same denominator, add them by adding their numerators.
\frac{30124372400687727511075301105959900000}{2299440931329390925775271077417193}+\frac{2000}{1.14^{20}}-10000
Add 29742902674125227511075301105959900000 and 381469726562500000000000000000000000 to get 30124372400687727511075301105959900000.
\frac{30124372400687727511075301105959900000}{2299440931329390925775271077417193}+\frac{2000}{13.7434898718549902904986646780607202328576}-10000
Calculate 1.14 to the power of 20 and get 13.7434898718549902904986646780607202328576.
\frac{30124372400687727511075301105959900000}{2299440931329390925775271077417193}+\frac{20000000000000000000000000000000000000000000}{137434898718549902904986646780607202328576}-10000
Expand \frac{2000}{13.7434898718549902904986646780607202328576} by multiplying both numerator and the denominator by 10000000000000000000000000000000000000000.
\frac{30124372400687727511075301105959900000}{2299440931329390925775271077417193}+\frac{19073486328125000000000000000000000000}{131068133085775282769190451412780001}-10000
Reduce the fraction \frac{20000000000000000000000000000000000000000000}{137434898718549902904986646780607202328576} to lowest terms by extracting and canceling out 1048576.
\frac{1717089226839200468131292163039714300000}{131068133085775282769190451412780001}+\frac{19073486328125000000000000000000000000}{131068133085775282769190451412780001}-10000
Least common multiple of 2299440931329390925775271077417193 and 131068133085775282769190451412780001 is 131068133085775282769190451412780001. Convert \frac{30124372400687727511075301105959900000}{2299440931329390925775271077417193} and \frac{19073486328125000000000000000000000000}{131068133085775282769190451412780001} to fractions with denominator 131068133085775282769190451412780001.
\frac{1717089226839200468131292163039714300000+19073486328125000000000000000000000000}{131068133085775282769190451412780001}-10000
Since \frac{1717089226839200468131292163039714300000}{131068133085775282769190451412780001} and \frac{19073486328125000000000000000000000000}{131068133085775282769190451412780001} have the same denominator, add them by adding their numerators.
\frac{1736162713167325468131292163039714300000}{131068133085775282769190451412780001}-10000
Add 1717089226839200468131292163039714300000 and 19073486328125000000000000000000000000 to get 1736162713167325468131292163039714300000.
\frac{1736162713167325468131292163039714300000}{131068133085775282769190451412780001}-\frac{1310681330857752827691904514127800010000}{131068133085775282769190451412780001}
Convert 10000 to fraction \frac{1310681330857752827691904514127800010000}{131068133085775282769190451412780001}.
\frac{1736162713167325468131292163039714300000-1310681330857752827691904514127800010000}{131068133085775282769190451412780001}
Since \frac{1736162713167325468131292163039714300000}{131068133085775282769190451412780001} and \frac{1310681330857752827691904514127800010000}{131068133085775282769190451412780001} have the same denominator, subtract them by subtracting their numerators.
\frac{425481382309572640439387648911914290000}{131068133085775282769190451412780001}
Subtract 1310681330857752827691904514127800010000 from 1736162713167325468131292163039714300000 to get 425481382309572640439387648911914290000.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}