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

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

Options:

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

Correct Answer: 3^2

Solution: 

Using the property of indices, a^m / a^n = a^(m-n), we have (3^4) / (3^2) = 3^(4-2) = 3^2.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (3^4) / (3^2)?
  • Step 1: Identify the expression we need to simplify: (3^4) / (3^2).
  • Step 2: Recall the property of indices that says when you divide two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).
  • Step 3: Apply this property to our expression: (3^4) / (3^2) becomes 3^(4-2).
  • Step 4: Calculate the exponent: 4 - 2 = 2.
  • Step 5: Write the simplified expression: 3^(4-2) = 3^2.
  • Step 6: If needed, calculate 3^2 to find the final value, which is 9.
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