Evaluate
\frac{1}{5764801x^{32}}
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\frac{1}{5764801x^{32}}
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\frac{1}{\left(-7x^{4}\right)^{8}}
Rewrite \left(-7x^{4}\right)^{15} as \left(-7x^{4}\right)^{7}\left(-7x^{4}\right)^{8}. Cancel out \left(-7x^{4}\right)^{7} in both numerator and denominator.
\frac{1}{\left(-7\right)^{8}\left(x^{4}\right)^{8}}
Expand \left(-7x^{4}\right)^{8}.
\frac{1}{\left(-7\right)^{8}x^{32}}
To raise a power to another power, multiply the exponents. Multiply 4 and 8 to get 32.
\frac{1}{5764801x^{32}}
Calculate -7 to the power of 8 and get 5764801.
\frac{1}{\left(-7x^{4}\right)^{8}}
Rewrite \left(-7x^{4}\right)^{15} as \left(-7x^{4}\right)^{7}\left(-7x^{4}\right)^{8}. Cancel out \left(-7x^{4}\right)^{7} in both numerator and denominator.
\frac{1}{\left(-7\right)^{8}\left(x^{4}\right)^{8}}
Expand \left(-7x^{4}\right)^{8}.
\frac{1}{\left(-7\right)^{8}x^{32}}
To raise a power to another power, multiply the exponents. Multiply 4 and 8 to get 32.
\frac{1}{5764801x^{32}}
Calculate -7 to the power of 8 and get 5764801.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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}