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How do we solve the equation $x^8=32\text{?}$
Divide both sides of the equation by 8.
Add $-8$ to each side of the equation.
Multiply both sides by $\frac{1}{8}$ .
Raise each side of the equation to the power $\frac{1}{8}$ .

Which law of exponents justifies this strategy?
$a^m\cdot a^n=a^{m+n}$
$\frac{a^m}{a^n}=a^{m-n}$
$\left(a^m\right)^n=a^{mn}$
$(ab)^n=a^n b^n$
$\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}$

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