Evaluate
\frac{81}{625y^{4}}
Expand
\frac{81}{625y^{4}}
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\frac{\left(-5y\right)^{-4}}{3^{-4}}
To raise \frac{-5y}{3} to a power, raise both numerator and denominator to the power and then divide.
\frac{\left(-5\right)^{-4}y^{-4}}{3^{-4}}
Expand \left(-5y\right)^{-4}.
\frac{\frac{1}{625}y^{-4}}{3^{-4}}
Calculate -5 to the power of -4 and get \frac{1}{625}.
\frac{\frac{1}{625}y^{-4}}{\frac{1}{81}}
Calculate 3 to the power of -4 and get \frac{1}{81}.
\frac{1}{625}y^{-4}\times 81
Divide \frac{1}{625}y^{-4} by \frac{1}{81} by multiplying \frac{1}{625}y^{-4} by the reciprocal of \frac{1}{81}.
\frac{81}{625}y^{-4}
Multiply \frac{1}{625} and 81 to get \frac{81}{625}.
\frac{\left(-5y\right)^{-4}}{3^{-4}}
To raise \frac{-5y}{3} to a power, raise both numerator and denominator to the power and then divide.
\frac{\left(-5\right)^{-4}y^{-4}}{3^{-4}}
Expand \left(-5y\right)^{-4}.
\frac{\frac{1}{625}y^{-4}}{3^{-4}}
Calculate -5 to the power of -4 and get \frac{1}{625}.
\frac{\frac{1}{625}y^{-4}}{\frac{1}{81}}
Calculate 3 to the power of -4 and get \frac{1}{81}.
\frac{1}{625}y^{-4}\times 81
Divide \frac{1}{625}y^{-4} by \frac{1}{81} by multiplying \frac{1}{625}y^{-4} by the reciprocal of \frac{1}{81}.
\frac{81}{625}y^{-4}
Multiply \frac{1}{625} and 81 to get \frac{81}{625}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}