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Which of the following is the result of (x^2y^3)^2?

Practice Questions

Q1
Which of the following is the result of (x^2y^3)^2?
  1. x^4y^6
  2. x^2y^3
  3. x^2y^6
  4. x^4y^3

Questions & Step-by-Step Solutions

Which of the following is the result of (x^2y^3)^2?
  • Step 1: Identify the expression we need to simplify, which is (x^2y^3)^2.
  • Step 2: Use the power of a power property, which states that when you raise a power to another power, you multiply the exponents.
  • Step 3: Apply this property to x^2. Since we have (x^2)^2, we multiply the exponents: 2 * 2 = 4. So, (x^2)^2 = x^4.
  • Step 4: Now apply the same property to y^3. We have (y^3)^2, so we multiply the exponents: 3 * 2 = 6. Thus, (y^3)^2 = y^6.
  • Step 5: Combine the results from Step 3 and Step 4. We get (x^2y^3)^2 = x^4y^6.
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