Simplify (9^2)^(1/3)

${(9^{2})}^{\frac{1}{3}}$

Step 1

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

$9^{2 (\frac{1}{3})}$

Step 2

Combine $2$ and $\frac{1}{3}$ .

$9^{\frac{2}{3}}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9^{\frac{2}{3}}$

Decimal Form:

$4.32674871 \dots$