Evaluate
\frac{1}{64n^{6}}
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\frac{1}{64n^{6}}
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\left(2^{-2}n^{-2}\right)^{3}
Expand \left(2n\right)^{-2}.
\left(\frac{1}{4}n^{-2}\right)^{3}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\left(\frac{1}{4}\right)^{3}\left(n^{-2}\right)^{3}
Expand \left(\frac{1}{4}n^{-2}\right)^{3}.
\left(\frac{1}{4}\right)^{3}n^{-6}
To raise a power to another power, multiply the exponents. Multiply -2 and 3 to get -6.
\frac{1}{64}n^{-6}
Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.
\left(2^{-2}n^{-2}\right)^{3}
Expand \left(2n\right)^{-2}.
\left(\frac{1}{4}n^{-2}\right)^{3}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\left(\frac{1}{4}\right)^{3}\left(n^{-2}\right)^{3}
Expand \left(\frac{1}{4}n^{-2}\right)^{3}.
\left(\frac{1}{4}\right)^{3}n^{-6}
To raise a power to another power, multiply the exponents. Multiply -2 and 3 to get -6.
\frac{1}{64}n^{-6}
Calculate \frac{1}{4} to the power of 3 and get \frac{1}{64}.
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Matrix
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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}