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The value of (x^2)^3 is equal to?

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Question: The value of (x^2)^3 is equal to?

Options:

  1. x^5
  2. x^6
  3. x^7
  4. x^8

Correct Answer: x^6

Solution: 

Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.

The value of (x^2)^3 is equal to?

Practice Questions

Q1
The value of (x^2)^3 is equal to?
  1. x^5
  2. x^6
  3. x^7
  4. x^8

Questions & Step-by-Step Solutions

The value of (x^2)^3 is equal to?
  • Step 1: Identify the expression we need to simplify, which is (x^2)^3.
  • Step 2: Recall the power of a power property, which states that (a^m)^n = a^(m*n).
  • Step 3: In our case, a is x, m is 2, and n is 3.
  • Step 4: Apply the property: (x^2)^3 becomes x^(2*3).
  • Step 5: Calculate the exponent: 2*3 equals 6.
  • Step 6: Write the final result: (x^2)^3 = x^6.
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