(xy)^3/xy^3

Jasonbradley

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Jun 17, 2024

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Simplifying (xy)^3 / xy^3

This expression involves exponents and can be simplified using the rules of exponents. Here's how:

Understanding the Rules

• Power of a product: (ab)^n = a^n * b^n
• Division of powers with the same base: a^m / a^n = a^(m-n)

Applying the Rules

1. Expand the numerator: (xy)^3 = x^3 * y^3

2. Rewrite the expression: (x^3 * y^3) / xy^3

3. Simplify using division rule: x^(3-1) * y^(3-3) = x^2 * y^0

4. Simplify further: x^2 * 1 = x^2

Conclusion

Therefore, the simplified form of (xy)^3 / xy^3 is x^2.