Evaluate
\frac{1}{27z^{30}}
Expand
\frac{1}{27z^{30}}
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\left(3z^{10}\right)^{-3}
Cancel out 5z^{2} in both numerator and denominator.
3^{-3}\left(z^{10}\right)^{-3}
Expand \left(3z^{10}\right)^{-3}.
3^{-3}z^{-30}
To raise a power to another power, multiply the exponents. Multiply 10 and -3 to get -30.
\frac{1}{27}z^{-30}
Calculate 3 to the power of -3 and get \frac{1}{27}.
\left(3z^{10}\right)^{-3}
Cancel out 5z^{2} in both numerator and denominator.
3^{-3}\left(z^{10}\right)^{-3}
Expand \left(3z^{10}\right)^{-3}.
3^{-3}z^{-30}
To raise a power to another power, multiply the exponents. Multiply 10 and -3 to get -30.
\frac{1}{27}z^{-30}
Calculate 3 to the power of -3 and get \frac{1}{27}.
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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