Answer
$\frac{x^{10}}{y^{12}}$
Work Step by Step
First step is parentheses . Using the exponent properties $(x^n)^m=x^{n*m}$
$(\frac{3x^2*y^{-4}}{x^{-3}*y^2})^2=\frac{3x^{2*2}*y^{-4*2}}{x^{-3*2}*y^{2*2}}=\frac{3x^4*y^{-8}}{x^{-6}*y^4}$
Using $\frac{x^m}{x^n}=x^{m-n}$
$3x^{4-(-6)}*y^{-8-4}=3x^{10}*y^{-12}=\frac{x^{10}}{y^{12}}$
