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

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

Step 1

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

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

Step 2

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

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

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

Multiply $2$ by $2$ .

$a^{\frac{3}{4}}$