Answer
$\frac{y^{10}}{9x^4} $.
Work Step by Step
The given expression is
$=\left (\frac{3x^2y^{-2}}{y^3} \right )^{-2}$
Subtract the exponents when dividing.
$=\left (3x^2y^{-2-3} \right )^{-2}$
Simplify.
$=\left (3x^2y^{-5} \right )^{-2}$
$=(3 )^{-2}(x^2 )^{-2}(y^{-5} )^{-2}$
Multiply the exponents when raising a power to a power.
$=3 ^{-2}x^{-4}y^{10} $
$=9 ^{-1}x^{-4}y^{10} $
$=\frac{y^{10}}{9x^4} $.
