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What is the value of 4^(3/2)?

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Question: What is the value of 4^(3/2)?

Options:

  1. 8
  2. 16
  3. 32
  4. 64

Correct Answer: 16

Solution: 

4^(3/2) = (√4)^3 = 2^3 = 8.

What is the value of 4^(3/2)?

Practice Questions

Q1
What is the value of 4^(3/2)?
  1. 8
  2. 16
  3. 32
  4. 64

Questions & Step-by-Step Solutions

What is the value of 4^(3/2)?
Correct Answer: 8
  • Step 1: Start with the expression 4^(3/2).
  • Step 2: Rewrite 4 as 2^2, so we have (2^2)^(3/2).
  • Step 3: Use the power of a power rule: (a^m)^n = a^(m*n).
  • Step 4: Multiply the exponents: 2^(2*(3/2)) = 2^3.
  • Step 5: Calculate 2^3, which is 2 * 2 * 2 = 8.
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