Find the Exact Value 4^(3/2)

$4^{\frac{3}{2}}$

Step 1

Simplify the expression.

Rewrite $4$ as $2^{2}$ .

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

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{3}$

Step 3

Raise $2$ to the power of $3$ .

$8$