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question 10
let (z > 0). then (sqrt4{z}=z^{-4})
true
false
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Step1: Recall exponent - root relationship
The fourth - root of a number $z$ can be written as $z^{\frac{1}{4}}$, i.e., $\sqrt[4]{z}=z^{\frac{1}{4}}$.
Step2: Compare with given expression
The given expression is $\sqrt[4]{z}=z^{- 4}$. Since $z^{\frac{1}{4}}
eq z^{-4}$ for $z > 0$ (because the exponents $\frac{1}{4}$ and $-4$ are not equal).
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False