# How do you simplify ((5a)/(3b))^-2?

${\left(\frac{5 a}{3 b}\right)}^{-} 2$
$= \frac{1}{\frac{5 a}{3 b}} ^ 2$
$= {\left(\frac{3 b}{5 a}\right)}^{2}$
$= \frac{{\left(3 b\right)}^{2}}{5 a} ^ 2$
$= \frac{{3}^{2} {b}^{2}}{{5}^{2} {a}^{2}}$
$= \frac{9 {b}^{2}}{25 {a}^{2}}$