https://file.aiquickdraw.com/mathbot/file/1730419834083lghifx52.jpg

Let's evaluate each expression:

1. **Evaluating \(- (4)^3\):**

   - First, we calculate \( (4)^3 \).
   - \( 4^3 = 4 \times 4 \times 4 = 64 \).
   - Then, apply the negative sign: \( - (4)^3 = -64 \).

   So, \(- (4)^3 = -64\).

2. **Evaluating \((-3)^3\):**

   - Here, we calculate \( (-3)^3 \).
   - \( (-3)^3 = (-3) \times (-3) \times (-3) = -27 \) (since an odd number of negatives results in a negative).
   
   So, \((-3)^3 = -27\).

### Final Answers
- \(- (4)^3 = -64\)
- \((-3)^3 = -27\)

Would you like any further details on this? 

Here are some related questions for further exploration:
1. What is the difference between \(-4^3\) and \((-4)^3\)?
2. How does the sign of the base affect the result of an exponent?
3. What happens if the exponent is even instead of odd for a negative base?
4. How can exponents be applied in practical applications like area or volume?
5. Why does an odd exponent on a negative number result in a negative outcome?

**Tip:** When evaluating expressions with exponents, be mindful of parentheses—they change how signs are applied in calculations.

Learn how to evaluate expressions with exponents and negative bases, including - (4)^3 and (-3)^3. This problem covers the basics of exponentiation and negative number rules, suitable for middle school students in Grades 6-8.

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