https://file.aiquickdraw.com/mathbot/file/1727460005721canc1ezs.jpg

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.

Learn how to evaluate expressions with negative numbers raised to powers. This problem covers the concept of exponents and explains the difference between even and odd powers when applied to negative numbers. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation