Find the Exact Value (2^2)^3

${(2^{2})}^{3}$

Step 1

Multiply the exponents in ${(2^{2})}^{3}$ .

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

$2^{2 \cdot 3}$

Multiply $2$ by $3$ .

$2^{6}$

Step 2

Raise $2$ to the power of $6$ .

$64$