## Algebra 2 Common Core

$2x$
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 $2x$.