# How do you simplify  (-r^5s)^2(-r^2s^4)^4?

Aug 7, 2017

${r}^{18} {s}^{18}$

#### Explanation:

Remove the brackets first: multiply the indices.

Raising a negative value to an even power makes it positive:

${\left(- {r}^{5} s\right)}^{2} {\left(- {r}^{2} {s}^{4}\right)}^{4}$

$= \left(+ {r}^{10} {s}^{2}\right) \times \left(+ {r}^{8} {s}^{16}\right)$

${r}^{18} {s}^{18} \text{ } \leftarrow$ add the indices of like bases