Answer
$\frac{x^{6}}{y^{10}}$
Work Step by Step
[$(x^{-3})(y^{5})]^{-2}$ =
Remove square brackets.
$(x^{-3})^{-2}$ $\times$ $(y^{5})^{-2}$ =
Simplify.
$x^{6}$ $\times$ $y^{-10}$ =
Recall the following rule: $(\frac{a}{b})^{-x}$ = $\frac{b^{x}}{a^{x}}$.
Thus, we obtain: $x^{6}$ $\times$ $\frac{1^{10}}{y^{10}}$ =
$x^{6}$ $\times$ $\frac{1}{y^{10}}$ =
$\frac{x^{6}}{y^{10}}$
