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Which of the following represents the expression 4^(3/2)?

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Question: Which of the following represents the expression 4^(3/2)?

Options:

  1. 8
  2. 16
  3. 4
  4. 2

Correct Answer: 8

Solution: 

4^(3/2) can be rewritten as (2^2)^(3/2) = 2^(2*3/2) = 2^3 = 8.

Which of the following represents the expression 4^(3/2)?

Practice Questions

Q1
Which of the following represents the expression 4^(3/2)?
  1. 8
  2. 16
  3. 4
  4. 2

Questions & Step-by-Step Solutions

Which of the following represents the expression 4^(3/2)?
  • Step 1: Start with the expression 4^(3/2).
  • Step 2: Rewrite 4 as 2^2, so the expression becomes (2^2)^(3/2).
  • Step 3: Use the power of a power rule, which says (a^m)^n = a^(m*n).
  • Step 4: Apply the rule: (2^2)^(3/2) becomes 2^(2*(3/2)).
  • Step 5: Calculate 2*(3/2), which equals 3.
  • Step 6: Now the expression is 2^3.
  • Step 7: Calculate 2^3, which equals 8.
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