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If x^3 = 8, then the value of x is?

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Question: If x^3 = 8, then the value of x is?

Options:

  1. 2
  2. 4
  3. 1
  4. 0

Correct Answer: 2

Solution: 

Taking the cube root of both sides, x = 8^(1/3) = 2.

If x^3 = 8, then the value of x is?

Practice Questions

Q1
If x^3 = 8, then the value of x is?
  1. 2
  2. 4
  3. 1
  4. 0

Questions & Step-by-Step Solutions

If x^3 = 8, then the value of x is?
  • Step 1: Start with the equation x^3 = 8.
  • Step 2: To find x, we need to get rid of the cube (the exponent 3).
  • Step 3: We do this by taking the cube root of both sides of the equation.
  • Step 4: The cube root of x^3 is x, and the cube root of 8 is written as 8^(1/3).
  • Step 5: Now we have x = 8^(1/3).
  • Step 6: Calculate 8^(1/3). Since 2 * 2 * 2 = 8, we find that 8^(1/3) = 2.
  • Step 7: Therefore, the value of x is 2.
  • Cube Roots – Understanding how to solve equations involving cube roots and the properties of exponents.
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