## Algebra 2 Common Core

$$5x^2y^3$$
RECALL: (1) If $n$ is odd, then $\sqrt[n]{a^n}=a$. (2) If $n$ is even, then $\sqrt[n]{a^n} = |a|$ Use rule (1) above to obtain: \begin{align*} \sqrt[3]{125x^6y^9}&=\sqrt[3]{(5x^2y^3)(5x^2y^3)(5x^2y^3)}\\ &=\sqrt[3]{\left(5x^2y^3\right)^3}\\ &=5x^2y^3 \end{align*}