Math Problem Statement

(-8)^2 × (-8 - -9)

Solution

Let's evaluate the expression:

(8)2×(89)(-8)^2 \times (-8 - -9)

Step 1: Simplify (8)2(-8)^2

(8)2=(8)×(8)=64(-8)^2 = (-8) \times (-8) = 64

Step 2: Simplify the expression inside the parentheses (89)(-8 - -9)

8(9)=8+9=1-8 - (-9) = -8 + 9 = 1

Step 3: Multiply the results

64×1=6464 \times 1 = 64

So, the value of the expression is 64.

Would you like any further details or explanations?

Related Questions:

  1. What is the general rule for squaring negative numbers?
  2. How do you handle subtraction of negative numbers?
  3. What happens when multiplying any number by 1?
  4. Can squaring a negative number ever result in a negative value?
  5. How does the order of operations (PEMDAS) apply to this problem?

Tip:

When subtracting negative numbers, remember that it’s the same as adding the positive equivalent.

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Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication
Subtraction of Negative Numbers

Formulas

Exponentiation a^2 = a × a
Subtraction of negative numbers a - (-b) = a + b

Theorems

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Suitable Grade Level

Grades 6-8