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(3xy)(4x^2y)/-6xy^2

2 min read Jun 16, 2024
(3xy)(4x^2y)/-6xy^2

Simplifying Algebraic Expressions: (3xy)(4x^2y)/-6xy^2

This article will guide you through the steps of simplifying the algebraic expression (3xy)(4x^2y)/-6xy^2.

Understanding the Process

Simplifying algebraic expressions involves combining like terms and applying the rules of exponents. Here's a breakdown of the steps:

  1. Multiplication: Begin by multiplying the terms in the numerator. Remember that when multiplying variables with exponents, you add their powers.

    (3xy)(4x^2y) = 12x^3y^2

  2. Division: Now divide the simplified numerator by the denominator. Again, remember to subtract the powers of variables during division.

    12x^3y^2 / -6xy^2 = -2x^2/y

Final Simplification

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

Key Points to Remember

  • Exponents: When multiplying or dividing variables with exponents, remember to add or subtract their powers, respectively.
  • Like terms: You can only combine terms that have the same variable and exponent.
  • Sign: Pay close attention to the sign of the expression, especially when dividing.

By following these steps and remembering the basic rules of algebra, you can simplify complex expressions with ease.

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