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If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)

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Question: If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)

Options:

  1. 35
  2. 27
  3. 10
  4. 8

Correct Answer: 35

Exam Year: 2021

Solution: 

a^3 = 2^3 = 8 and b^3 = 3^3 = 27, so 8 + 27 = 35.

If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)

Practice Questions

Q1
If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
  1. 35
  2. 27
  3. 10
  4. 8

Questions & Step-by-Step Solutions

If a = 2 and b = 3, what is the value of a^3 + b^3? (2021)
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 3.
  • Step 2: Calculate a^3. This means 2 raised to the power of 3. So, 2^3 = 2 * 2 * 2 = 8.
  • Step 3: Calculate b^3. This means 3 raised to the power of 3. So, 3^3 = 3 * 3 * 3 = 27.
  • Step 4: Add the results from Step 2 and Step 3. So, 8 + 27 = 35.
  • Exponents – Understanding how to calculate powers of numbers.
  • Addition – Performing basic arithmetic operations, specifically addition.
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