Answer
$8x^{2}$
Work Step by Step
Using laws of exponents, then,
\begin{array}{l}
(32^{1/5}x^{2/3})^3
\\\\=
(2^{5\cdot\frac{1}{5}}x^{2/3})^3
\\\\=
(2x^{2/3})^3
\\\\=
2^3x^{\frac{2}{3}\cdot3}
\\\\=
8x^{2}
.\end{array}
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