Find the Exact Value 16^(3/2)

$16^{\frac{3}{2}}$

Step 1

Simplify the expression.

Rewrite $16$ as $4^{2}$ .

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

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

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

Step 2

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$4^{3}$

Step 3

Raise $4$ to the power of $3$ .

$64$