Write in Exponential Form ( cube root of a^3)^2

${(\sqrt[3]{a^{3}})}^{2}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[3]{a^{3}}$ as $a^{\frac{3}{3}}$ .

${(a^{\frac{3}{3}})}^{2}$

Step 2

Divide $3$ by $3$ .

${(a^{1})}^{2}$

Step 3

Multiply the exponents in ${(a^{1})}^{2}$ .

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

$a^{1 \cdot 2}$

Multiply $2$ by $1$ .

$a^{2}$