​ Simplify. 27x6y3−−−−−√3 Assume all variables are nonnegative.

Simplify.

cuberoot(27x^6y^3)

Assume all variables are nonnegative.

$\begin{array}{|rcll|} \hline && \sqrt[3]{27x^6y^3} \\ &=& \sqrt[3]{3^3x^3x^3y^3} \\ &=& \sqrt[3]{3^3}\sqrt[3]{x^3}\sqrt[3]{x^3}\sqrt[3]{y^3} \\ &=& 3xxy \\ &=& 3x^2y \\ \hline \end{array}$