Evaluate (5^2)^4

${(5^{2})}^{4}$

Step 1

Multiply the exponents in ${(5^{2})}^{4}$ .

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

$5^{2 \cdot 4}$

Multiply $2$ by $4$ .

$5^{8}$

Step 2

Raise $5$ to the power of $8$ .

$390625$