Answer
$z^{10}\sqrt[3] (z^{2})$
Work Step by Step
$\sqrt[3] (z^{32})=\sqrt[3] (z^{30}\times z^{2})=\sqrt[3] (z^{30})\times \sqrt[3] (z^{2})=z^{10}\sqrt[3] (z^{2})$
We know that $\sqrt[3] (z^{30})=z^{10}$, because $(z^{10})^{3}=z^{10\times3}=z^{30}$.
