Answer
$\dfrac{81x^4}{y^4}$
Work Step by Step
(i) $\left(\dfrac{x}{y}\right)^n=\dfrac{x^n}{y^n}, y \ne 0$
(ii) $(xy)^m = x^my^m$
Use the rules above to obtain:
$=\dfrac{3^4x^4}{y^4}
\\=\dfrac{3(3)(3)(3)x^4}{y^4}
\\=\dfrac{81x^4}{y^4}$