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.