The problem asks us to evaluate two expressions:

1. $(-4)^3$
2. $(-9)^2$

Let's solve these step-by-step:

1. $(-4)^3$: $(-4) \times (-4) \times (-4) = -64$ So, $(-4)^3 = -64$.

2. $(-9)^2$: $(-9) \times (-9) = 81$ So, $(-9)^2 = 81$.

The final answers are:

• $(-4)^3 = -64$
• $(-9)^2 = 81$

Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

1. What is $(-5)^3$?
2. How do you evaluate $(-7)^2$?
3. What happens if the exponent is even or odd for negative numbers?
4. Can you explain the difference between $(-x)^n$ and $-x^n$?
5. How would you evaluate $(-2)^4$?

Tip: For even exponents, the result of a negative number raised to the power is positive. For odd exponents, it stays negative.