Answer
$(9x^2y)^{\frac{5}{6}}$
Work Step by Step
RECALL:
$(\sqrt[n]{a})^m=\left(a^{\frac{1}{n}}\right)^m=a^{\frac{m}{n}}$
For the given expression, $n=6$, $a=9x^2y$, and $m=5$.
Thus, using the rule above gives:
$\left(\sqrt[6]{9x^2y}\right)^5=\left((9x^2y)^{\frac{1}{6}}\right)^5=(9x^2y)^{\frac{5}{6}}$
