Evaluate (2^4)^2

${(2^{4})}^{2}$

Step 1

Multiply the exponents in ${(2^{4})}^{2}$ .

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

$2^{4 \cdot 2}$

Multiply $4$ by $2$ .

$2^{8}$

Step 2

Raise $2$ to the power of $8$ .

$256$