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

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

Step 1

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

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

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$w^{3 (3) \frac{1}{3}}$

Cancel the common factor.

$w^{3 \cdot 3 \frac{1}{3}}$

Rewrite the expression.

$w^{3}$