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What is the value of (x^3) / (x^2) when x = 2?

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Question: What is the value of (x^3) / (x^2) when x = 2?

Options:

  1. 2
  2. 4
  3. 8
  4. 16

Correct Answer: 2

Solution: 

Using the property of indices, (x^3) / (x^2) = x^(3-2) = x^1. When x = 2, it equals 2.

What is the value of (x^3) / (x^2) when x = 2?

Practice Questions

Q1
What is the value of (x^3) / (x^2) when x = 2?
  1. 2
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

What is the value of (x^3) / (x^2) when x = 2?
  • Step 1: Write down the expression (x^3) / (x^2).
  • Step 2: Use the property of indices that says (a^m) / (a^n) = a^(m-n).
  • Step 3: Apply this property to the expression: (x^3) / (x^2) = x^(3-2).
  • Step 4: Simplify the exponent: 3 - 2 = 1, so (x^3) / (x^2) = x^1.
  • Step 5: Now substitute x = 2 into the simplified expression: x^1 = 2^1.
  • Step 6: Calculate 2^1, which equals 2.
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