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If a = 1 and b = 4, what is the value of a³ + b³?

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Question: If a = 1 and b = 4, what is the value of a³ + b³?

Options:

  1. 65
  2. 65
  3. 125
  4. 125

Correct Answer: 65

Solution: 

a³ + b³ = 1³ + 4³ = 1 + 64 = 65.

If a = 1 and b = 4, what is the value of a³ + b³?

Practice Questions

Q1
If a = 1 and b = 4, what is the value of a³ + b³?
  1. 65
  2. 65
  3. 125
  4. 125

Questions & Step-by-Step Solutions

If a = 1 and b = 4, what is the value of a³ + b³?
  • Step 1: Identify the values of a and b. Here, a = 1 and b = 4.
  • Step 2: Calculate a³ (a cubed). This means multiplying a by itself three times: 1 * 1 * 1 = 1.
  • Step 3: Calculate b³ (b cubed). This means multiplying b by itself three times: 4 * 4 * 4 = 64.
  • Step 4: Add the results from Step 2 and Step 3 together: 1 + 64 = 65.
  • Basic Arithmetic Operations – The question tests the ability to perform basic arithmetic operations, specifically exponentiation and addition.
  • Understanding of Cubes – The question assesses the understanding of calculating the cube of a number.
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