The problem asks us to evaluate the expression $5^3 \times \frac{1}{5^2}$.

1. Problem Description

The problem asks us to evaluate the expression $5^3 \times \frac{1}{5^2}$.

2. Solution Steps

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

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

Using the exponent rule $\frac{a^m}{a^n} = a^{m-n}$, we have:

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

3. Final Answer

5