Evaluate
\frac{89721626359076972530516439589342724570757673473799721518629933719812453331820342154993079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}\approx 0.540820862
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1-\left(1+\frac{52}{12000}\right)^{-12\times 15}
Expand \frac{0.052}{12} by multiplying both numerator and the denominator by 1000.
1-\left(1+\frac{13}{3000}\right)^{-12\times 15}
Reduce the fraction \frac{52}{12000} to lowest terms by extracting and canceling out 4.
1-\left(\frac{3013}{3000}\right)^{-12\times 15}
Add 1 and \frac{13}{3000} to get \frac{3013}{3000}.
1-\left(\frac{3013}{3000}\right)^{-180}
Multiply -12 and 15 to get -180.
1-\frac{76177348045866392339289727720615561750424801402395196724001565744957137343033038019601000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}
Calculate \frac{3013}{3000} to the power of -180 and get \frac{76177348045866392339289727720615561750424801402395196724001565744957137343033038019601000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}.
\frac{89721626359076972530516439589342724570757673473799721518629933719812453331820342154993079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}
Subtract \frac{76177348045866392339289727720615561750424801402395196724001565744957137343033038019601000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201} from 1 to get \frac{89721626359076972530516439589342724570757673473799721518629933719812453331820342154993079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}{165898974404943364869806167309958286321182474876194918242631499464769590674853380174594079960626343199880071795836325301822843393000337554491069431156594831596210204773098878250892844345391903899344538080642744298851674012888270041052263351671805665305378741771530842555647320065690167331598778229538164347057553327710793158807960943046400148513655674868014056772314636423903093263973159427583426847234912175315616499103870906529211659531152710309610568605686784716677529617492468520035356069364497958738552988248987404878595682656808081016669808705251823853943709762447211661200262146853041472983485607729709030885295986369201}.
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}