Answer
$$5x^2y^3$$
Work Step by Step
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*}
