# How do you simplify (m^8)^-3 and write it using only positive exponents?

Aug 7, 2017

(m^8)^(-3)=color(blue)(1/(m^24

Refer to the explanation for the process.

#### Explanation:

Simplify ${\left({m}^{8}\right)}^{- 3}$

Apply the power rule of exponents: ${\left({x}^{a}\right)}^{b} = {x}^{a \cdot b}$.

${m}^{- 24}$

Apply negative exponent rule: ${x}^{- a} = \frac{1}{{x}^{a}}$.

1/(m^24