# How do you simplify (5a^-2)(5a^6)?

Oct 17, 2015

$25 {a}^{4}$
The expression $\left(5 {a}^{-} 2\right) \left(5 {a}^{6}\right)$ is a multiplication problem.
which can be restated as $\left(5\right) \left(5\right) \left({a}^{6 - 2}\right)$.
$\left({a}^{m}\right) \left({a}^{n}\right) = {a}^{m + n}$
The final solution is then $\ast 25 {a}^{4} \ast$