## Elementary Algebra

$\frac{x^{6}}{y^{10}}$
[$(x^{-3})(y^{5})]^{-2}$ = 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: $x^{6}$ $\times$ $\frac{1^{10}}{y^{10}}$ = $x^{6}$ $\times$ $\frac{1}{y^{10}}$ = $\frac{x^{6}}{y^{10}}$