Answer
$2xz^{-2/3}$
Work Step by Step
Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the given expression, $
\dfrac{2x}{\sqrt[3]{z^2}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{2x}{z^{2/3}}
\\\\=
2xz^{-2/3}
.\end{array}
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