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Difficulty: EasyOrder of Operations and Number Properties

What is the value of the expression 24−3×(8−6)324 - 3 \times (8 - 6)^3?

  1. 00Answer
  2. B
    66
  3. C
    168168
  4. D
    −192-192
  5. E
    −864-864

Answer

The value of the expression is 00.
Applying the standard order of operations (PEMDAS), the parentheses are simplified first to get 22, then the exponent is evaluated to get 23=82^3 = 8. Next, the multiplication is performed to get 3×8=243 \times 8 = 24. Finally, subtraction gives 24−24=024 - 24 = 0.

Step-by-Step Solution

1
Simplify the expression inside the parentheses.
8−6=28 - 6 = 2
According to the order of operations (PEMDAS), operations inside parentheses must be performed first.
2
Evaluate the exponent.
23=82^3 = 8
Exponents are evaluated after parentheses and before multiplication or division.
3
Perform the multiplication.
3×8=243 \times 8 = 24
Multiplication is performed after exponents and before subtraction.
4
Perform the subtraction.
24−24=024 - 24 = 0
Subtraction is the final step in this expression.

Key Concept

Order of Operations
Estimated Time:45s
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Topics

Order of Operations and Number Properties

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