https://file.aiquickdraw.com/mathbot/file/1726082020817gvj2clhi.jpg

The expression shown in the image is:

\[
\frac{5^8}{5^5}
\]

To simplify this expression, we can apply the rule of exponents for division:

\[
\frac{a^m}{a^n} = a^{m-n}
\]

In this case, \(a = 5\), \(m = 8\), and \(n = 5\). So we get:

\[
5^{8-5} = 5^3
\]

Thus, the simplified expression is:

\[
5^3 = 125
\]

Would you like more details or have any questions? Here are some related questions you might find useful:

1. How do exponent rules apply to multiplication and division?
2. What is the general form of the exponent subtraction rule?
3. How do you simplify expressions with more complex exponents?
4. Can you explain the laws of exponents for fractional powers?
5. What happens when the base in an exponent problem is negative?

**Tip**: When dividing like bases with exponents, always subtract the exponents!

This page explains how to simplify the expression 5^8 / 5^5 by using the exponent subtraction rule. Learn step-by-step how to apply exponent laws to arrive at the simplified result of 5^3 = 125. This problem is suitable for students in Grades 7-9.

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