(3 −8 ⋅7 3 ) −2

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (3 − 8 ⋅ 7 3 ) −2

This expression involves several mathematical operations, so we need to follow the order of operations (PEMDAS/BODMAS) to simplify it correctly:

1. Parentheses/Brackets:

• First, we need to address the operation within the parentheses:
  • 8 ⋅ 7 = 56
  • 3 - 56 = -53

2. Exponents:

• Now we have (-53) raised to the power of -2:
  • (-53)⁻² = 1 / (-53)²

3. Multiplication/Division (from left to right):

• Calculate the square of -53:
  • (-53)² = 2809

4. Final Result:

• Finally, we have:
  • 1 / 2809

Therefore, the simplified form of (3 − 8 ⋅ 7 3 ) −2 is 1/2809.