Math Problem Statement

Evaluate: -(3)^2 x (-3)^2

Solution

The problem is to evaluate:

(3)2×(3)2-(3)^2 \times (-3)^2

Step-by-step breakdown:

  1. Evaluate (3)2(3)^2: 32=93^2 = 9 So, (3)2=9-(3)^2 = -9.

  2. Evaluate (3)2(-3)^2: (3)2=9(-3)^2 = 9

  3. Multiply the two results: 9×9=81-9 \times 9 = -81

Thus, the correct answer is d. -81.


Would you like further details or have any questions?
Here are 5 related questions for further practice:

  1. Evaluate (2)2×(2)2-(2)^2 \times (-2)^2.
  2. What is (4)2×(4)2(-4)^2 \times (4)^2?
  3. Simplify (5)2×(5)-(5)^2 \times (-5).
  4. Evaluate (6)3×(2)2(-6)^3 \times (-2)^2.
  5. Solve (3)4×(3)2(-3)^4 \times (3)^2.

Tip: Always be mindful of the negative signs outside parentheses when calculating powers.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Negative Numbers

Formulas

a^2 = a * a

Theorems

Rules of exponents
Negative square properties

Suitable Grade Level

Grades 7-9