Answer
$\frac{y^{10}}{9x^{4}}$
Work Step by Step
Use powers-to power and quotient rules.
$=(\frac{3x^{2}y^{-2}}{y^{3}})^{-2}$
$=\frac{(3x^{2}y^{-2})^{-2}}{(y^{3})^{-2}}$
$=\frac{3^{-2}x^{2\times-2}y^{-2\times-2}}{y^{3\times-2}}$
$=\frac{x^{-4}y^{4}}{9y^{-6}}$
$=\frac{y^{10}}{9x^{4}}$