Evaluate (5^2)^7

${(5^{2})}^{7}$

Step 1

Multiply the exponents in ${(5^{2})}^{7}$ .

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

$5^{2 \cdot 7}$

Multiply $2$ by $7$ .

$5^{14}$

Step 2

Raise $5$ to the power of $14$ .

$6103515625$