# How do you fill in the blank for the expression (a^?)^8=a^24?

Oct 14, 2015

${\left({a}^{3}\right)}^{8} = {a}^{24}$

#### Explanation:

A rule of exponents says that:

color(blue)((x^m)^n = x^(m*n)

${\left({a}^{x}\right)}^{8} = {a}^{8 x}$

${a}^{8 x} = {a}^{24}$

Hence $8 x = 24$

Dividing both sides by 8, we get

$x = 3$