My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

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

Options:

  1. x^4 * y^6
  2. x^2 * y^3
  3. x^6 * y^4
  4. x^5 * y^3

Correct Answer: x^4 * y^6

Exam Year: 2023

Solution: 

Using the power of a product property, we have (x^2 * y^3)^(2) = x^(2*2) * y^(3*2) = x^4 * y^6.

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.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks