https://file.aiquickdraw.com/mathbot/file/1726436002617quvz5oa1.jpg

The expression shown in the image is:

\[
\frac{8x^2}{3x^5}
\]

To simplify this, follow these steps:

1. Simplify the coefficients: \(\frac{8}{3}\) stays as it is since it's already in its simplest form.
   
2. Simplify the powers of \(x\). Use the rule for division of exponents: \( \frac{x^a}{x^b} = x^{a-b} \). In this case:
   \[
   \frac{x^2}{x^5} = x^{2-5} = x^{-3}
   \]

Thus, the simplified form of the expression is:

\[
\frac{8}{3x^3}
\]

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for further exploration:
1. How do you simplify expressions with negative exponents?
2. What is the rule for dividing powers of the same base?
3. How would the expression change if it were \(\frac{8x^3}{3x^5}\)?
4. What happens if you multiply the simplified expression by \(x^3\)?
5. How do you handle expressions with variables in both the numerator and denominator?

**Tip:** When simplifying algebraic fractions, always reduce the coefficients first, and then apply the exponent rules.

Learn how to simplify the algebraic expression 8x^2 / 3x^5 by applying exponent division rules. This problem highlights essential concepts in algebra, focusing on simplifying coefficients and powers of variables. Suitable for students in Grades 8-10.

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