Evaluate (5^3)^2

${(5^{3})}^{2}$

Step 1

Multiply the exponents in ${(5^{3})}^{2}$ .

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

$5^{3 \cdot 2}$

Multiply $3$ by $2$ .

$5^{6}$

Step 2

Raise $5$ to the power of $6$ .

$15625$