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

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

Options:

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

Correct Answer: 17

Solution: 

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

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

Practice Questions

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

Questions & Step-by-Step Solutions

If a = 3 and b = 2, what is the value of a^b + b^a?
  • Step 1: Identify the values of a and b. Here, a = 3 and b = 2.
  • Step 2: Calculate a raised to the power of b, which is 3^2.
  • Step 3: Calculate 3^2. This means 3 multiplied by itself, which is 3 * 3 = 9.
  • Step 4: Calculate b raised to the power of a, which is 2^3.
  • Step 5: Calculate 2^3. This means 2 multiplied by itself three times, which is 2 * 2 * 2 = 8.
  • Step 6: Add the results from Step 3 and Step 5. So, 9 + 8.
  • Step 7: Calculate 9 + 8, which equals 17.
  • Exponents – Understanding how to calculate powers of numbers.
  • Basic Arithmetic – Performing addition after calculating the powers.
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