Evaluate (12^2)^(1/4)

${(12^{2})}^{\frac{1}{4}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$12^{2 (\frac{1}{4})}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$12^{2 \frac{1}{2 (2)}}$

Cancel the common factor.

$12^{2 \frac{1}{2 \cdot 2}}$

Rewrite the expression.

$12^{\frac{1}{2}}$

The result can be shown in multiple forms.

Exact Form:

$12^{\frac{1}{2}}$

Decimal Form:

$3.46410161 \dots$