Write in Exponential Form (5^2)^4*5^5

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

Step 1

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

$5^{2 \cdot 4} \cdot 5^{5}$

Step 2

Multiply $2$ by $4$ .

$5^{8} \cdot 5^{5}$