Evaluate
\frac{2}{25}=0.08
Factor
\frac{2}{5 ^ {2}} = 0.08
Quiz
Arithmetic
5 problems similar to:
\frac { ( 5 \times 4 ) ^ { 2 } } { 5 ^ { 4 } \times 2 ^ { 3 } } =
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\frac{20^{2}}{5^{4}\times 2^{3}}
Multiply 5 and 4 to get 20.
\frac{400}{5^{4}\times 2^{3}}
Calculate 20 to the power of 2 and get 400.
\frac{400}{625\times 2^{3}}
Calculate 5 to the power of 4 and get 625.
\frac{400}{625\times 8}
Calculate 2 to the power of 3 and get 8.
\frac{400}{5000}
Multiply 625 and 8 to get 5000.
\frac{2}{25}
Reduce the fraction \frac{400}{5000} to lowest terms by extracting and canceling out 200.
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}