Solve =-10.000+2000/(1+01)+4000/(101)^2+7000/(1013^3)

$$= - 10.000 + \frac { 2000 } { ( 1 + 01 ) } + \frac { 4000 } { ( 101 ) ^ { 2 } } + \frac { 7000 } { ( 1013 ^ { 3 } ) }$$

Evaluate

$$\frac{21106184412203030}{10604033318597}\approx 1990.392125154$$

Solution Steps

Multiply 0 and 1 to get 0.

$$-10+\frac{2000}{1+0}+\frac{4000}{101^{2}}+\frac{7000}{1013^{3}}$$

Add 1 and 0 to get 1.

$$-10+\frac{2000}{1}+\frac{4000}{101^{2}}+\frac{7000}{1013^{3}}$$

Anything divided by one gives itself.

$$-10+2000+\frac{4000}{101^{2}}+\frac{7000}{1013^{3}}$$

Add -10 and 2000 to get 1990.

$$1990+\frac{4000}{101^{2}}+\frac{7000}{1013^{3}}$$

Calculate 101 to the power of 2 and get 10201.

$$1990+\frac{4000}{10201}+\frac{7000}{1013^{3}}$$

Convert 1990 to fraction \frac{20299990}{10201}.

$$\frac{20299990}{10201}+\frac{4000}{10201}+\frac{7000}{1013^{3}}$$

Since \frac{20299990}{10201} and \frac{4000}{10201} have the same denominator, add them by adding their numerators.

$$\frac{20299990+4000}{10201}+\frac{7000}{1013^{3}}$$

Add 20299990 and 4000 to get 20303990.

$$\frac{20303990}{10201}+\frac{7000}{1013^{3}}$$

Calculate 1013 to the power of 3 and get 1039509197.

$$\frac{20303990}{10201}+\frac{7000}{1039509197}$$

Least common multiple of 10201 and 1039509197 is 10604033318597. Convert \frac{20303990}{10201} and \frac{7000}{1039509197} to fractions with denominator 10604033318597.

$$\frac{21106184340796030}{10604033318597}+\frac{71407000}{10604033318597}$$

Since \frac{21106184340796030}{10604033318597} and \frac{71407000}{10604033318597} have the same denominator, add them by adding their numerators.

$$\frac{21106184340796030+71407000}{10604033318597}$$

Add 21106184340796030 and 71407000 to get 21106184412203030.

$$\frac{21106184412203030}{10604033318597}$$

Factor

$$\frac{2 \cdot 5 \cdot 7 \cdot 43 \cdot 2053 \cdot 3415499951}{101 ^ {2} \cdot 1013 ^ {3}} = 1990\frac{4158108195002}{10604033318597} = 1990.3921251537101$$