Evaluate (2^2)^2

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

Step 1

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

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

$2^{2 \cdot 2}$

Multiply $2$ by $2$ .

$2^{4}$

Step 2

Raise $2$ to the power of $4$ .

$16$