# For any nonzero real numbers a and b and any integers m and t, how do you simplify (-a^m/b^t)^(2t)?

${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$
${\left(- {a}^{\textcolor{red}{m}} / {b}^{\textcolor{red}{t}}\right)}^{\textcolor{b l u e}{2 t}} \implies {\left(- a\right)}^{\textcolor{red}{m} \times \textcolor{b l u e}{2 t}} / {\left(b\right)}^{\textcolor{red}{t} \times \textcolor{b l u e}{2 t}} \implies {\left(- a\right)}^{2 m t} / {\left(b\right)}^{2 {t}^{2}}$