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

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

Options:

  1. 2^(5x)
  2. 2^(6x)
  3. 2^(x)
  4. 2^(x+5)

Correct Answer: 2^(5x)

Solution: 

Using the property of exponents, 2^(3x) * 2^(2x) = 2^(3x + 2x) = 2^(5x).

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

Practice Questions

Q1
What is the value of 2^(3x) * 2^(2x)?
  1. 2^(5x)
  2. 2^(6x)
  3. 2^(x)
  4. 2^(x+5)

Questions & Step-by-Step Solutions

What is the value of 2^(3x) * 2^(2x)?
  • Step 1: Identify the expression you need to simplify: 2^(3x) * 2^(2x).
  • Step 2: Recall the property of exponents that says when you multiply two numbers with the same base, you add their exponents.
  • Step 3: Apply this property to the expression: 2^(3x) * 2^(2x) becomes 2^(3x + 2x).
  • Step 4: Now, add the exponents: 3x + 2x equals 5x.
  • Step 5: Write the final simplified expression: 2^(5x).
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