https://file.aiquickdraw.com/mathbot/file/1730327072671vnlw2fkt.jpg

Let's evaluate each expression:

### 1. \((-5)^3\)
To evaluate \((-5)^3\), we multiply \(-5\) by itself three times:

\[
(-5) \times (-5) \times (-5) = -125
\]

So, \((-5)^3 = -125\).

### 2. \((-7)^2\)
To evaluate \((-7)^2\), we multiply \(-7\) by itself:

\[
(-7) \times (-7) = 49
\]

Thus, \((-7)^2 = 49\).

### Final Answers
1. \((-5)^3 = -125\)
2. \((-7)^2 = 49\)

Would you like more details on any part of the solution?

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Here are some additional questions related to this problem:
1. How do exponents affect the sign of a number?
2. What would happen if we evaluated \((-5)^2\) instead?
3. Can you explain why \((-7)^3\) would yield a negative answer?
4. How does raising a positive number to an odd power differ from raising a negative number to an odd power?
5. What is the result of \((-2)^4\)?

**Tip:** Remember, when a negative number is raised to an even power, the result is positive. When it’s raised to an odd power, the result is negative.

Learn how to evaluate (-5)^3 and (-7)^2, with detailed steps showing the effects of exponents on negative numbers. This problem is ideal for students in Grades 6-8, covering exponents and integer multiplication.

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