What is the simplified form of (x^2 * y^3)^(2)? (2023)

Practice Questions

Q1
What is the simplified form of (x^2 * y^3)^(2)? (2023)
  1. x^4 * y^6
  2. x^2 * y^3
  3. x^6 * y^4
  4. x^5 * y^3

Questions & Step-by-Step Solutions

What is the simplified form of (x^2 * y^3)^(2)? (2023)
  • Step 1: Identify the expression you need to simplify, which is (x^2 * y^3)^(2).
  • Step 2: Use the power of a product property, which states that (a * b)^(n) = a^(n) * b^(n).
  • Step 3: Apply this property to the expression: (x^2 * y^3)^(2) becomes x^(2*2) * y^(3*2).
  • Step 4: Calculate the exponents: 2*2 = 4 and 3*2 = 6.
  • Step 5: Write the simplified expression using the calculated exponents: x^4 * y^6.
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