# How do you simplify (2x^2)^-4 and write it using only positive exponents?

May 4, 2017

color(blue)(1/(16x^8)

#### Explanation:

${\left(2 {x}^{2}\right)}^{-} 4$

$\therefore = \frac{1}{2 {x}^{2}} ^ 4$

$\therefore = \frac{1}{{2}^{4} {x}^{8}}$

:.color(blue)(=1/(16x^8)