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If a = 3 and b = 2, what is the value of a^(b+1)?

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Question: If a = 3 and b = 2, what is the value of a^(b+1)?

Options:

  1. 6
  2. 9
  3. 27
  4. 81

Correct Answer: 27

Solution: 

a^(b+1) = 3^(2+1) = 3^3 = 27.

If a = 3 and b = 2, what is the value of a^(b+1)?

Practice Questions

Q1
If a = 3 and b = 2, what is the value of a^(b+1)?
  1. 6
  2. 9
  3. 27
  4. 81

Questions & Step-by-Step Solutions

If a = 3 and b = 2, what is the value of a^(b+1)?
Correct Answer: 27
  • Step 1: Identify the values of a and b. Here, a = 3 and b = 2.
  • Step 2: Calculate b + 1. Since b = 2, we have b + 1 = 2 + 1 = 3.
  • Step 3: Substitute the values into the expression a^(b+1). This gives us 3^(2+1) = 3^3.
  • Step 4: Calculate 3^3. This means 3 multiplied by itself three times: 3 * 3 * 3.
  • Step 5: Perform the multiplication: 3 * 3 = 9, and then 9 * 3 = 27.
  • Step 6: Conclude that the value of a^(b+1) is 27.
  • Exponentiation – Understanding how to calculate powers, particularly with base and exponent values.
  • Order of Operations – Applying the correct order of operations when evaluating expressions, especially with parentheses.
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