Simplify the Radical Expression (a^(1/2))^(1/3)

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

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

$a^{\frac{1}{2} \cdot \frac{1}{3}}$

Multiply $\frac{1}{2} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{2}$ by $\frac{1}{3}$ .

$a^{\frac{1}{2 \cdot 3}}$

Multiply $2$ by $3$ .

$a^{\frac{1}{6}}$