Evaluate
\frac{z^{8}}{625xy^{12}}
Differentiate w.r.t. x
-\frac{z^{8}}{625x^{2}y^{12}}
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5^{-4}x^{-1}y^{-12}\left(z^{-2}\right)^{-4}
To raise a power to another power, multiply the exponents. Multiply 3 and -4 to get -12.
5^{-4}x^{-1}y^{-12}z^{8}
To raise a power to another power, multiply the exponents. Multiply -2 and -4 to get 8.
\frac{1}{625}x^{-1}y^{-12}z^{8}
Calculate 5 to the power of -4 and get \frac{1}{625}.
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