https://file.aiquickdraw.com/mathbot/file/1724036360215r2yietw7.jpg

The expression shown in the image is:

\[
\frac{mn^9}{m^3}
\]

To simplify this expression:

1. **Identify and simplify similar terms**: Here, the variable \(m\) appears in both the numerator and the denominator.
2. **Apply the exponent rules**: Specifically, use the rule \(\frac{a^m}{a^n} = a^{m-n}\).

Let's simplify:

\[
\frac{mn^9}{m^3} = m^{1-3} \cdot n^9
\]

This simplifies to:

\[
m^{-2}n^9
\]

Alternatively, the simplified expression can be written as:

\[
\frac{n^9}{m^2}
\]

So, the simplified expression is \(\frac{n^9}{m^2}\).

Would you like further details on this, or do you have any questions?

Here are 5 related questions:
1. How do you simplify \(\frac{a^5b^3}{a^2b^2}\)?
2. What is the simplified form of \(\frac{c^7d}{c^2}\)?
3. How would you handle the simplification of \(\frac{p^4q^2}{p^4q^3}\)?
4. How do you simplify expressions with negative exponents like \(x^{-3}y^{-2}\)?
5. What is the rule for multiplying exponents with the same base?

**Tip:** When simplifying expressions with exponents, always subtract the exponents when dividing terms with the same base.

Learn how to simplify the expression \(\frac{mn^9}{m^3}\) step-by-step using exponent rules. This problem covers key mathematical concepts like exponents and simplification. Suitable for students in Grades 7-9.

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