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

ArithmeticExponentsSimplification
2025/3/31

1. Problem Description

The problem asks us to simplify the expression 5352\frac{5^3}{5^2}.

2. Solution Steps

To simplify the given expression, we can use the rule of exponents that states aman=amn\frac{a^m}{a^n} = a^{m-n}.
Applying this rule to the expression 5352\frac{5^3}{5^2}, we have:
5352=532\frac{5^3}{5^2} = 5^{3-2}
532=515^{3-2} = 5^1
51=55^1 = 5

3. Final Answer

The simplified form of 5352\frac{5^3}{5^2} is 55.