#### Answer

0

#### Work Step by Step

You have $\frac{(5^2)(5^3)}{(5^3)(5^2)}$. Solve:
$\frac{5^2*5^3}{5^3*5^2}$ -remove the parentheses and add the exponents since you are multiplying them-
$\frac{5^5}{5^5}$ -apply the rule that $\frac{a}{a}$=1-
=1
So, the blank should be filled with 0 as any number to the zeroth power is 1.