Evaluate 16^(7/4)

$16^{\frac{7}{4}}$

Step 1

Simplify the expression.

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

${(2^{4})}^{\frac{7}{4}}$

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

$2^{4 (\frac{7}{4})}$

Step 2

Cancel the common factor of $4$ .

Cancel the common factor.

$2^{4 (\frac{7}{4})}$

Rewrite the expression.

$2^{7}$

Step 3

Raise $2$ to the power of $7$ .

$128$