Answer
The answer is $z^{\frac{1}{2}}$
Work Step by Step
To solve
$(z^{8})^{0}$ $z^{\frac{1}{2}}$. --> $(z^{8})^{0}$ equals 1 as the exponent is 0 and any number to exponent 0 is 1.
1($z^{\frac{1}{2}}$) = $z^{\frac{1}{2}}$
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