Simplify the Radical Expression (16^(1/2))^(3/4)

${(16^{\frac{1}{2}})}^{\frac{3}{4}}$

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

$16^{\frac{1}{2} \cdot \frac{3}{4}}$

Multiply $\frac{1}{2} \cdot \frac{3}{4}$ .

Multiply $\frac{1}{2}$ by $\frac{3}{4}$ .

$16^{\frac{3}{2 \cdot 4}}$

Multiply $2$ by $4$ .

$16^{\frac{3}{8}}$