Math Problem Statement

(-3)^2

Solution

(3)2(-3)^2 evaluates to 9.

Here's the breakdown:

  • (3)(-3) is the base, and the exponent is 22, meaning you multiply 3-3 by itself.
  • (3)×(3)=9(-3) \times (-3) = 9, because multiplying two negative numbers results in a positive product.

So, (3)2=9(-3)^2 = 9.

Would you like more details on this, or do you have any questions?

Here are 5 related questions for further practice:

  1. What is (4)2(-4)^2?
  2. What is the value of (5)3(-5)^3?
  3. How does (3)2(-3)^2 differ from 32-3^2?
  4. What is (3)4(-3)^4?
  5. Can you express (3)2(-3)^2 in terms of absolute value?

Tip: When the base is negative and raised to an even power, the result is positive.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Exponentiation
Negative Numbers

Formulas

Exponentiation Rule: a^n = a * a * ... * a (n times)

Theorems

Multiplication of Negative Numbers: The product of two negative numbers is positive

Suitable Grade Level

Grades 6-8