We need to evaluate the expression $5^3 \times \frac{1}{5^2}$.

1. Problem Description

We need to evaluate the expression $5^3 \times \frac{1}{5^2}$.

2. Solution Steps

First, we can rewrite the expression as a single fraction:

$5^3 \times \frac{1}{5^2} = \frac{5^3}{5^2}$

Next, we can use the rule for dividing exponents with the same base:

$\frac{a^m}{a^n} = a^{m-n}$

Applying this rule to our expression:

$\frac{5^3}{5^2} = 5^{3-2} = 5^1 = 5$

3. Final Answer

5