Problem:
What is the result of 25 to the power of 4 divided by 5 to the power of 3?

Solution:

To solve this problem, we need to understand the rules of exponentiation and division. Let's break down the problem step by step.

Step 1: Evaluate the exponent of 25:
25 raised to the power of 4 can be calculated as:
25 * 25 * 25 * 25 = 625 * 625 = 390625

So, 25 to the power of 4 is equal to 390625.

Step 2: Evaluate the exponent of 5:
5 raised to the power of 3 can be calculated as:
5 * 5 * 5 = 125

So, 5 to the power of 3 is equal to 125.

Step 3: Divide the two results:
Now that we have the values of 25 to the power of 4 and 5 to the power of 3, we can divide them:
390625 / 125 = 3125

Therefore, the result of 25 to the power of 4 divided by 5 to the power of 3 is 3125.

Summary:

- 25 to the power of 4 is equal to 390625.
- 5 to the power of 3 is equal to 125.
- Dividing 390625 by 125 gives us a result of 3125.

Note:
Remember that exponentiation represents repeated multiplication, and division is the opposite operation of multiplication.

3125