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

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

Options:

  1. 4^5
  2. 4^6
  3. 4^4
  4. 4^7

Correct Answer: 4^5

Solution: 

Using the property of indices, a^m * a^n = a^(m+n), we have (4^3) * (4^2) = 4^(3+2) = 4^5.

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

Practice Questions

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

Questions & Step-by-Step Solutions

What is the value of (4^3) * (4^2)?
  • Step 1: Identify the numbers and their powers in the expression (4^3) * (4^2).
  • Step 2: Recognize that both terms have the same base, which is 4.
  • Step 3: Use the property of indices that says when you multiply like bases, you add the exponents: a^m * a^n = a^(m+n).
  • Step 4: Apply this property to our expression: (4^3) * (4^2) becomes 4^(3+2).
  • Step 5: Calculate the sum of the exponents: 3 + 2 = 5.
  • Step 6: Write the final result using the base and the new exponent: 4^5.
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