https://file.aiquickdraw.com/mathbot/file/1730148283818d64ykysl.jpg

Let's evaluate each expression:

1. \((-9)^2\):
   - Squaring \(-9\) means multiplying it by itself:
   \[
   (-9) \times (-9) = 81
   \]
   So, \((-9)^2 = 81\).

2. \((-5)^3\):
   - Cubing \(-5\) means multiplying \(-5\) by itself three times:
   \[
   (-5) \times (-5) \times (-5) = -125
   \]
   So, \((-5)^3 = -125\).

**Final Answers:**
1. \((-9)^2 = 81\)
2. \((-5)^3 = -125\)

Would you like further details on any of these steps?

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Here are 5 related questions to explore further:

1. What is \((-7)^2\) and \((-7)^3\)?
2. How does raising a negative number to an even power differ from raising it to an odd power?
3. Can you find the value of \((-2)^4\)?
4. What is the general rule for powers of negative numbers?
5. How does squaring and cubing affect the magnitude of positive versus negative numbers?

**Tip:** Remember, raising a negative number to an even power results in a positive value, while raising it to an odd power results in a negative value.

Learn how to evaluate powers of negative numbers like (-9)^2 and (-5)^3. This solution explains exponentiation, highlighting the difference between even and odd powers of negative numbers. Suitable for students in Grades 7-9.

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