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

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

Simplifying the Expression (4xy^2)(2y)^3

This article will guide you through the process of simplifying the algebraic expression (4xy^2)(2y)^3.

Understanding the Order of Operations

To simplify this expression, we need to follow the order of operations, commonly remembered by the acronym PEMDAS or BODMAS:

  • Parentheses (or Brackets)
  • Exponents (or Orders)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Simplifying the Expression Step-by-Step

  1. Simplify the exponent:

    • (2y)^3 = (2y) * (2y) * (2y) = 8y^3

  2. Multiply the coefficients:

    • 4 * 8 = 32

  3. Combine the variables:

    • x * y^2 * y^3 = x * y^(2+3) = xy^5

  4. Final result:

    • (4xy^2)(2y)^3 = 32xy^5

Therefore, the simplified form of the expression (4xy^2)(2y)^3 is 32xy^5.

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