( 1 + \frac { 0,09 } { 4 } ) ^ { 4 } - 1
Evaluate
0,0930833187890625
Factor
\frac{293 \cdot 809 \cdot 1117 \cdot 3 ^ {2}}{2 ^ {16} \cdot 5 ^ {8}} = 0.0930833187890625
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\left(1+\frac{9}{400}\right)^{4}-1
Expand \frac{0,09}{4} by multiplying both numerator and the denominator by 100.
\left(\frac{409}{400}\right)^{4}-1
Add 1 and \frac{9}{400} to get \frac{409}{400}.
\frac{27982932961}{25600000000}-1
Calculate \frac{409}{400} to the power of 4 and get \frac{27982932961}{25600000000}.
\frac{2382932961}{25600000000}
Subtract 1 from \frac{27982932961}{25600000000} to get \frac{2382932961}{25600000000}.
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}