https://file.aiquickdraw.com/mathbot/file/1726992440097y91twoud.jpg

The expression in the image appears to be:

\[
\frac{2m^7}{-m^2}
\]

To simplify this, we can use the rules of exponents. Specifically, when dividing powers of the same base, you subtract the exponents:

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

Thus:

\[
\frac{2m^7}{-m^2} = 2 \cdot m^{7 - 2} = 2 \cdot m^5
\]

Since there is a negative sign in the denominator, the final simplified form is:

\[
-2m^5
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. How would you simplify \(\frac{3x^9}{x^3}\)?
2. What happens when the exponents in the numerator and denominator are equal?
3. Can you simplify \(\frac{5a^4}{-2a^7}\)?
4. How do you handle a situation where the exponent in the denominator is larger than the numerator?
5. What are the rules for simplifying negative exponents?

**Tip:** Remember that when dividing powers with the same base, always subtract the exponents!

Simplify the expression in the image: \(\frac{2m^7}{-m^2}\).

Learn how to simplify the exponential expression \(\frac{2m^7}{-m^2}\) by applying exponent rules. This step-by-step solution covers key concepts in algebra and exponent manipulation, suitable for students in Grades 8-10.

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