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

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

Options:

  1. 3^(5)
  2. 3^(6)
  3. 3^(7)
  4. 3^(8)

Correct Answer: 3^(6)

Solution: 

Using the property (a^m)^n = a^(m*n), we have (3^(2))^(3) = 3^(2*3) = 3^(6).

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

Practice Questions

Q1
What is the value of (3^(2))^(3)?
  1. 3^(5)
  2. 3^(6)
  3. 3^(7)
  4. 3^(8)

Questions & Step-by-Step Solutions

What is the value of (3^(2))^(3)?
Correct Answer: 729
  • Step 1: Identify the expression we need to solve, which is (3^(2))^(3).
  • Step 2: Recall the property of exponents that says (a^m)^n = a^(m*n).
  • Step 3: Apply this property to our expression: (3^(2))^(3) becomes 3^(2*3).
  • Step 4: Calculate the multiplication in the exponent: 2*3 = 6.
  • Step 5: Now we have 3^(6) as our simplified expression.
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