Evaluate (x^(3/2))^2

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

Step 1

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x^{3}$