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Calculate: 6 + 2 × (5 - 3)^2

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Question: Calculate: 6 + 2 × (5 - 3)^2

Options:

  1. 8
  2. 10
  3. 12
  4. 14

Correct Answer: 10

Solution: 

First, solve inside the parentheses: 5 - 3 = 2. Then, calculate the exponent: 2^2 = 4. Next, multiply: 2 × 4 = 8. Finally, add: 6 + 8 = 14.

Calculate: 6 + 2 × (5 - 3)^2

Practice Questions

Q1
Calculate: 6 + 2 × (5 - 3)^2
  1. 8
  2. 10
  3. 12
  4. 14

Questions & Step-by-Step Solutions

Calculate: 6 + 2 × (5 - 3)^2
  • Step 1: Solve inside the parentheses: 5 - 3 = 2.
  • Step 2: Calculate the exponent: 2^2 = 4.
  • Step 3: Multiply: 2 × 4 = 8.
  • Step 4: Add: 6 + 8 = 14.
  • Order of Operations – The question tests the understanding of the order of operations (PEMDAS/BODMAS), which dictates the sequence in which mathematical operations should be performed.
  • Exponents – The question involves calculating an exponent, which is a fundamental concept in arithmetic.
  • Parentheses – The question requires solving expressions within parentheses first, highlighting the importance of grouping in calculations.
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