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

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

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, (x^2)^3 = x^(2*3) = x^6.

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

Practice Questions

Q1
What is the value of (x^2)^3?
  1. x^5
  2. x^6
  3. x^7
  4. x^8

Questions & Step-by-Step Solutions

What is the value of (x^2)^3?
  • Step 1: Identify the expression you 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: Apply the property to your expression: (x^2)^3 becomes x^(2*3).
  • Step 4: Calculate the exponent: 2 * 3 = 6.
  • Step 5: Write the final result: (x^2)^3 = x^6.
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