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

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

Step 1

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

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

Step 2

Combine $\frac{1}{2}$ and $3$ .

$q^{\frac{3}{2}}$