Evaluate
\left(\frac{z}{x}\right)^{8}
Differentiate w.r.t. x
-\frac{8z^{8}}{x^{9}}
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\frac{x^{8}z^{28}}{x^{16}z^{20}}
Use the rules of exponents to simplify the expression.
x^{8-16}z^{28-20}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
x^{-8}z^{28-20}
Subtract 16 from 8.
x^{-8}z^{8}
Subtract 20 from 28.
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Limits
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