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Which of the following is equivalent to 2^(3) * 2^(2)?

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Question: Which of the following is equivalent to 2^(3) * 2^(2)?

Options:

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

Correct Answer: 2^(5)

Solution: 

Using the property a^m * a^n = a^(m+n), we have 2^(3+2) = 2^(5).

Which of the following is equivalent to 2^(3) * 2^(2)?

Practice Questions

Q1
Which of the following is equivalent to 2^(3) * 2^(2)?
  1. 2^(5)
  2. 2^(6)
  3. 2^(7)
  4. 2^(8)

Questions & Step-by-Step Solutions

Which of the following is equivalent to 2^(3) * 2^(2)?
Correct Answer: 32
  • Step 1: Identify the bases and exponents in the expression 2^(3) * 2^(2).
  • Step 2: Recognize that both terms have the same base, which is 2.
  • Step 3: Use the property of exponents that states a^m * a^n = a^(m+n).
  • Step 4: Apply this property to combine the exponents: 2^(3) * 2^(2) becomes 2^(3+2).
  • Step 5: Calculate the sum of the exponents: 3 + 2 = 5.
  • Step 6: Write the final result: 2^(3) * 2^(2) is equivalent to 2^(5).
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