5^5\5^2 = 5^1 5^2 5^3 5^4

5^5/5^2 = 5^(5-2) = 5^3

To simplify the expression 5^5 / 5^2, you can use the rules of exponents.

Step 1: Start by subtracting the exponents.

5^5 / 5^2 = 5^(5-2)

Step 2: Simplify the exponent calculation.

5^(5-2) = 5^3

Therefore, the simplified expression is 5^3 or 125.

To simplify the given expression \(\frac{{5^5}}{{5^2}}\), we need to apply the rules of exponents. When dividing exponential expressions with the same base, we subtract the exponents.

Here are the steps to simplify the expression:

Step 1: Subtract the exponents: \(5^5 - 5^2\)
Step 2: Simplify each exponent separately:
- \(5^5\) means multiplying 5 by itself 5 times: \(5^5 = 5 \times 5 \times 5 \times 5 \times 5 = 3125\)
- \(5^2\) means multiplying 5 by itself 2 times: \(5^2 = 5 \times 5 = 25\)
Step 3: Divide the results: \(\frac{{3125}}{{25}} = 125\)

Therefore, the simplified expression is 125, which can be represented as \(5^3\).