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Evaluate: 2^4 ÷ 2^2 + 3 × 2

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Question: Evaluate: 2^4 ÷ 2^2 + 3 × 2

Options:

  1. 10
  2. 8
  3. 6
  4. 12

Correct Answer: 10

Solution:

Using the laws of indices: 2^4 ÷ 2^2 = 2^(4-2) = 2^2 = 4. Then, 3 × 2 = 6. Finally, 4 + 6 = 10.

Evaluate: 2^4 ÷ 2^2 + 3 × 2

Practice Questions

Q1
Evaluate: 2^4 ÷ 2^2 + 3 × 2
  1. 10
  2. 8
  3. 6
  4. 12

Questions & Step-by-Step Solutions

Evaluate: 2^4 ÷ 2^2 + 3 × 2
  • Step 1: Start with the expression: 2^4 ÷ 2^2 + 3 × 2.
  • Step 2: Calculate 2^4. This means 2 multiplied by itself 4 times: 2 × 2 × 2 × 2 = 16.
  • Step 3: Calculate 2^2. This means 2 multiplied by itself 2 times: 2 × 2 = 4.
  • Step 4: Now divide the results from Step 2 and Step 3: 16 ÷ 4 = 4.
  • Step 5: Next, calculate 3 × 2. This means 3 multiplied by 2: 3 × 2 = 6.
  • Step 6: Finally, add the results from Step 4 and Step 5: 4 + 6 = 10.
  • Laws of Indices – Understanding how to manipulate exponents, particularly division of like bases.
  • Order of Operations – Applying the correct sequence of operations (PEMDAS/BODMAS) in mathematical expressions.
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