Answer
$2x$
Work Step by Step
Using $\sqrt[n]{x}\cdot\sqrt[n]{y}=\sqrt[n]{xy},$ the given expression is equivalent to:
\begin{align*}
&
=\sqrt[3]{2x^2(4x)}
\\&=
\sqrt[3]{8x^3}
\end{align*}
Extracting the root of the factors that is a perfect power of the index, the expression above is equivalent to
\begin{align*}
&
=\sqrt[3]{(2x)^3}
\\&=
2x
\end{align*}
Hence, the simplified form of the given expression is $
2x
$.