Simplify (u^(3/2))^2*v^2

${(u^{\frac{3}{2}})}^{2} \cdot v^{2}$

Step 1

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

$u^{\frac{3}{2} \cdot 2} \cdot v^{2}$

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

$u^{\frac{3}{2} \cdot 2} \cdot v^{2}$

Rewrite the expression.

$u^{3} \cdot v^{2}$

$u^{3} v^{2}$