https://file.aiquickdraw.com/mathbot/file/1728153627577eli2oycp.jpg

Let's evaluate the two expressions shown in the image:

1. \((-7)^3\)
2. \((-4)^2\)

### First Expression: \((-7)^3\)
When a number is raised to the third power (cubed), it is multiplied by itself three times:

\[
(-7)^3 = (-7) \times (-7) \times (-7) = -343
\]

### Second Expression: \((-4)^2\)
When a number is raised to the second power (squared), it is multiplied by itself:

\[
(-4)^2 = (-4) \times (-4) = 16
\]

### Final Results:
\[
(-7)^3 = -343
\]
\[
(-4)^2 = 16
\]

Let me know if you would like further details or have any questions!

Here are 5 related questions:
1. How do you compute powers of negative numbers?
2. What is the difference between even and odd powers of negative numbers?
3. How do exponents affect the sign of a result?
4. Can you explain the rule for raising negative numbers to an even exponent?
5. What happens when you raise negative numbers to odd exponents?

**Tip:** Always double-check the power to ensure you handle negative signs correctly when raising numbers to powers.

Learn how to evaluate powers of negative numbers with examples like (-7)^3 and (-4)^2. This problem covers exponents and the rules for handling negative numbers. Suitable for students in Grades 6-8.

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