Evaluate (2^5)^2

${(2^{5})}^{2}$

Step 1

Multiply the exponents in ${(2^{5})}^{2}$ .

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

$2^{5 \cdot 2}$

Multiply $5$ by $2$ .

$2^{10}$

Step 2

Raise $2$ to the power of $10$ .

$1024$