1 - ( 1 - 0.4 \% ) ^ { 100 }
Evaluate
0.330217428727353867388523416806093719292513219224917251703832010225716518884452012717616015105674392244932938792283681905139738536205386091576471039121196541895891854026651709264283935132616731444269312810713615342472051288513981021994648670078329714876660822297881547869093484008346846149526499098624
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1-\left(1-\frac{4}{1000}\right)^{100}
Expand \frac{0.4}{100} by multiplying both numerator and the denominator by 10.
1-\left(1-\frac{1}{250}\right)^{100}
Reduce the fraction \frac{4}{1000} to lowest terms by extracting and canceling out 4.
1-\left(\frac{249}{250}\right)^{100}
Subtract \frac{1}{250} from 1 to get \frac{249}{250}.
1-\frac{416806717387479592229725392815624794046451287475264846170213589875091709859200726422177900352749010387046148353288206082390326153940839642763303400822665503803617380239553227197371415631942843052905885377313577037418870923172033508903100001}{622301527786114170714406405378012424059025216872116713310111661478969883403538344118394482312571361695696658955512248212471604347229003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
Calculate \frac{249}{250} to the power of 100 and get \frac{416806717387479592229725392815624794046451287475264846170213589875091709859200726422177900352749010387046148353288206082390326153940839642763303400822665503803617380239553227197371415631942843052905885377313577037418870923172033508903100001}{622301527786114170714406405378012424059025216872116713310111661478969883403538344118394482312571361695696658955512248212471604347229003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
\frac{205494810398634578484681012562387630012573929396851867139898071603878173544337617696216581959822351308650510602224042130081278193288164263486696599177334496196382619760446772802628584368057156947094114622686422962581129076827966491096899999}{622301527786114170714406405378012424059025216872116713310111661478969883403538344118394482312571361695696658955512248212471604347229003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}
Subtract \frac{416806717387479592229725392815624794046451287475264846170213589875091709859200726422177900352749010387046148353288206082390326153940839642763303400822665503803617380239553227197371415631942843052905885377313577037418870923172033508903100001}{622301527786114170714406405378012424059025216872116713310111661478969883403538344118394482312571361695696658955512248212471604347229003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} from 1 to get \frac{205494810398634578484681012562387630012573929396851867139898071603878173544337617696216581959822351308650510602224042130081278193288164263486696599177334496196382619760446772802628584368057156947094114622686422962581129076827966491096899999}{622301527786114170714406405378012424059025216872116713310111661478969883403538344118394482312571361695696658955512248212471604347229003906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.
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}