Simplify the Radical Expression (x^3)^(3/2)

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

Step 1

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

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

Step 2

Multiply $3 (\frac{3}{2})$ .

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

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

Multiply $3$ by $3$ .

$x^{\frac{9}{2}}$