(x^3y^2)^2

Jasonbradley

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Jun 17, 2024

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Simplifying (x^3y^2)^2

In mathematics, simplifying expressions is a fundamental skill. One common type of expression involves exponents and parentheses. Let's explore how to simplify the expression (x^3y^2)^2.

Understanding the Rules

To simplify this expression, we need to understand the following rules of exponents:

• Power of a Product: (ab)^n = a^n * b^n
• Power of a Power: (a^m)^n = a^(m*n)

Applying the Rules

1. Apply the Power of a Product rule: (x^3y^2)^2 = (x^3)^2 * (y^2)^2

2. Apply the Power of a Power rule: (x^3)^2 * (y^2)^2 = x^(32) * y^(22)

3. Simplify: x^(32) * y^(22) = x^6 * y^4

The Result

Therefore, the simplified form of (x^3y^2)^2 is x^6y^4.