Evaluate
\frac{1}{16z^{40}}
Expand
\frac{1}{16z^{40}}
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\left(2z^{10}\right)^{-4}
Cancel out 4z^{2} in both numerator and denominator.
2^{-4}\left(z^{10}\right)^{-4}
Expand \left(2z^{10}\right)^{-4}.
2^{-4}z^{-40}
To raise a power to another power, multiply the exponents. Multiply 10 and -4 to get -40.
\frac{1}{16}z^{-40}
Calculate 2 to the power of -4 and get \frac{1}{16}.
\left(2z^{10}\right)^{-4}
Cancel out 4z^{2} in both numerator and denominator.
2^{-4}\left(z^{10}\right)^{-4}
Expand \left(2z^{10}\right)^{-4}.
2^{-4}z^{-40}
To raise a power to another power, multiply the exponents. Multiply 10 and -4 to get -40.
\frac{1}{16}z^{-40}
Calculate 2 to the power of -4 and get \frac{1}{16}.
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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