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

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

Options:

  1. 11
  2. 17
  3. 19
  4. 25

Correct Answer: 17

Solution: 

Calculating, a^b = 2^3 = 8 and b^a = 3^2 = 9, thus a^b + b^a = 8 + 9 = 17.

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

Practice Questions

Q1
If a = 2 and b = 3, what is the value of a^b + b^a?
  1. 11
  2. 17
  3. 19
  4. 25

Questions & Step-by-Step Solutions

If a = 2 and b = 3, what is the value of a^b + b^a?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 3.
  • Step 2: Calculate a raised to the power of b, which is 2^3. This means 2 multiplied by itself 3 times: 2 * 2 * 2 = 8.
  • Step 3: Calculate b raised to the power of a, which is 3^2. This means 3 multiplied by itself 2 times: 3 * 3 = 9.
  • Step 4: Add the results from Step 2 and Step 3 together: 8 + 9 = 17.
  • Step 5: The final answer is 17.
  • Exponents – Understanding how to calculate powers of numbers.
  • Basic Arithmetic – Performing addition after calculating the powers.
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