Evaluate (16)^(3/4)

${(16)}^{\frac{3}{4}}$

Step 1

Simplify the expression.

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

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

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

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

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

$2^{3}$

Step 3

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

$8$