# How do you simplify (2m^2)^-1/m^2 and write it using only positive exponents?

$\frac{1}{2 {m}^{4}}$
${\left(2 {m}^{2}\right)}^{- 1} = \frac{1}{2 {m}^{2}}$
$\implies$
$\frac{{\left(2 {m}^{2}\right)}^{- 1}}{m} ^ 2 = \frac{\frac{1}{2 {m}^{2}}}{m} ^ 2 = \frac{1}{2 {m}^{4}}$