Math Problem Statement

-3(-2)^3-(-4)

Solution

Let's solve the expression step by step:

Expression:

3(2)3(4)-3(-2)^3 - (-4)

Step 1: Evaluate the exponentiation

(2)3=8(-2)^3 = -8 So the expression becomes: 3(8)(4)-3(-8) - (-4)

Step 2: Multiply

3×(8)=24-3 \times (-8) = 24 Now the expression is: 24(4)24 - (-4)

Step 3: Subtract a negative

Subtracting a negative number is the same as adding it: 24(4)=24+4=2824 - (-4) = 24 + 4 = 28

Final Answer:

2828

Would you like more details or have any questions? Here are some related questions for practice:

  1. Simplify: 5(3)2(7)-5(3)^2 - (-7)
  2. Evaluate: 2(3)2+(4)2(-3)^2 + (-4)
  3. Simplify: 4(2)3(1)-4(-2)^3 - (-1)
  4. Calculate: 2(5)3+6-2(5)^3 + 6
  5. Find the value: 6(3)2(5)-6(-3)^2 - (-5)

Tip: When you subtract a negative number, it becomes an addition.

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Math Problem Analysis

Mathematical Concepts

Exponents
Negative Numbers
Multiplication
Subtraction

Formulas

Exponentiation: (a^b)
Multiplication of negatives: (-a) * (-b)
Subtracting a negative: a - (-b) = a + b

Theorems

Properties of Exponents
Rules of Operations with Negative Numbers

Suitable Grade Level

Grades 6-8