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Evaluate: 2^4 ÷ 2^2

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Question: Evaluate: 2^4 ÷ 2^2

Options:

  1. 2^2
  2. 2^3
  3. 2^4
  4. 2^5

Correct Answer: 2^2

Solution: 

Using the property of indices, a^m ÷ a^n = a^(m-n). Here, 2^4 ÷ 2^2 = 2^(4-2) = 2^2.

Evaluate: 2^4 ÷ 2^2

Practice Questions

Q1
Evaluate: 2^4 ÷ 2^2
  1. 2^2
  2. 2^3
  3. 2^4
  4. 2^5

Questions & Step-by-Step Solutions

Evaluate: 2^4 ÷ 2^2
  • Step 1: Identify the numbers and their powers in the expression 2^4 ÷ 2^2.
  • Step 2: Recognize that you can use the property of indices which states that a^m ÷ a^n = a^(m-n).
  • Step 3: Apply the property to the expression: 2^4 ÷ 2^2 becomes 2^(4-2).
  • Step 4: Calculate the exponent: 4 - 2 = 2.
  • Step 5: Rewrite the expression: 2^(4-2) = 2^2.
  • Step 6: Finally, evaluate 2^2, which equals 4.
  • Properties of Indices – Understanding how to manipulate exponents, specifically the division of like bases.
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