# How do you use laws of exponents to simplify (x^3y)^8?

Aug 5, 2015

=x^color(blue)(24)y^(color(blue)(8)

#### Explanation:

(x^3y)^color(blue)(8

• As per property:
color(blue)((ab)^m =a^m * b^m
Applying the same property to the expression.

$\textcolor{b l u e}{8}$ is multiplied with each term within the bracket.

=x^color(blue)((3*8))y^(color(blue)(8)

=x^color(blue)(24)y^(color(blue)(8)