# How do you simplify  (-mn^8)^3?

Sep 15, 2016

$- 27 {m}^{3} {n}^{24}$

#### Explanation:

${\left(- 3 m {n}^{8}\right)}^{3} = \left(- 3 m {n}^{8}\right) \times \left(- 3 m {n}^{8}\right) \times \left(- 3 m {n}^{8}\right)$

Work it out by looking at:

the signs $\rightarrow$the answer will be negative
the numbers $\rightarrow {3}^{3} = 27$
the indices $\rightarrow {m}^{3} {n}^{24}$

${\left(- 3 m {n}^{8}\right)}^{3} = - 27 {m}^{3} {n}^{24}$