## Algebra 2 Common Core

$2|y|\sqrt[4]{4x^3y^2}$
Extracting the perfect powers of the index, the given expression, $\sqrt[4]{64x^3y^6} ,$ is equivalent to \begin{align*} & =\sqrt[4]{16y^4\cdot4x^3y^2} \\\\&= \sqrt[4]{\left(2y\right)^4\cdot4x^3y^2} \\\\&= |2y|\sqrt[4]{4x^3y^2} \\\\&= 2|y|\sqrt[4]{4x^3y^2} .\end{align*} Hence, the simplified form of the given expression is $2|y|\sqrt[4]{4x^3y^2}$.