(x^3y^2)^3

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression (x³y²)^3

In mathematics, simplifying expressions often involves applying various rules of exponents. This article will focus on simplifying the expression (x³y²)^3.

Understanding the Rules of Exponents

To understand how to simplify this expression, we need to know a few key rules of exponents:

• Product of powers: When multiplying powers with the same base, add the exponents: x^m * xⁿ = x^m+n
• Power of a power: When raising a power to another power, multiply the exponents: (x^m)ⁿ = x^m*n

Simplifying (x³y²)^3

1. Applying the power of a power rule: We apply this rule to both terms inside the parentheses:

   • (x³)^3 = x^3*3 = x⁹
   • (y²)^3 = y^2*3 = y⁶

2. Combining the simplified terms: Now we have: x⁹y⁶

The Final Result

Therefore, the simplified form of (x³y²)^3 is x⁹y⁶.