https://file.aiquickdraw.com/mathbot/file/1726103761711faslfr1q.jpg

Let's evaluate the expressions one by one.

1. \((-9)^2\):
\[
(-9)^2 = (-9) \times (-9) = 81
\]

2. \((-5)^3\):
\[
(-5)^3 = (-5) \times (-5) \times (-5) = -125
\]

So, the answers are:
- \((-9)^2 = 81\)
- \((-5)^3 = -125\)

Would you like more details on this? Here are 5 related questions for further practice:

1. What is \((-7)^2\)?
2. How would you simplify \((4)^3\)?
3. Evaluate \((-12)^2\).
4. What is \((-2)^3\)?
5. How does the negative sign affect even and odd powers?

**Tip:** Squaring a negative number always gives a positive result because a negative times a negative is positive. However, raising a negative number to an odd power gives a negative result because the multiplication keeps the negative sign.

Learn how to evaluate powers of negative numbers like (-9)^2 and (-5)^3. This problem demonstrates the difference between even and odd powers of negative numbers, suitable for Grades 6-8.

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