Question

PLEASE HELP

Solve.

m^-5 = 1/32

m = ________ ?

Answer 1

$a^{-n}=\frac{1}{a^n}\\\\m^{-5}=\frac{1}{32}\iff m^5=\frac{1}{\frac{1}{32}}\to m^5=32\iff m=\sqrt[5]{32}\to m=2\\\\because\ 2^5=32\\\\Answer:\boxed{m=2}$