# How do you use laws of exponents to simplify (-mn^8)^2?

Aug 5, 2015

=color(green)(−m^2n^16

#### Explanation:

(−mn^8)^color(blue)(2

• As per property:
color(blue)((ab)^m =a^m * b^m

Applying the same property to the expression, the exponent color(blue)(2 is multiplied with each term within the bracket.

=(−m^color(blue)(2))(n^(8 * color(blue)(2)))

=color(green)(−m^2n^16