\frac { 1,5 ^ { 2 } } { ( - 0,5 ) ^ { 2 } } =
Evaluate
100
Factor
2^{2}\times 5^{2}
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\frac{1\times 25}{\left(-0,5\right)^{2}}
Calculate 5 to the power of 2 and get 25.
\frac{25}{\left(-0,5\right)^{2}}
Multiply 1 and 25 to get 25.
\frac{25}{0,25}
Calculate -0,5 to the power of 2 and get 0,25.
\frac{2500}{25}
Expand \frac{25}{0,25} by multiplying both numerator and the denominator by 100.
100
Divide 2500 by 25 to get 100.
Examples
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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}