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

less than a minute read Jun 16, 2024
(2xy)^2(-3x^2)(4y^2)

Simplifying the Expression: (2xy)^2(-3x^2)(4y^2)

This article will walk through the steps involved in simplifying the expression (2xy)^2(-3x^2)(4y^2).

Understanding the Components

  • (2xy)^2: This represents squaring the entire term inside the parentheses. Remember, squaring means multiplying the term by itself.
  • (-3x^2): This is a simple monomial term.
  • (4y^2): Another simple monomial term.

Applying the Rules of Exponents

  1. Simplify (2xy)^2:

    • (2xy)^2 = (2xy)(2xy) = 4x^2y^2

  2. Combine all the terms:

    • 4x^2y^2 (-3x^2)(4y^2)

  3. Multiply the coefficients:

    • (4)(-3)(4) = -48

  4. Multiply the variables:

    • x^2 * x^2 = x^(2+2) = x^4
    • y^2 * y^2 = y^(2+2) = y^4

The Final Simplified Expression

After combining all the steps, the simplified expression is: -48x^4y^4

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