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

2 min read Jun 16, 2024
(3x^3)(2y)^2(4x^4)

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

This article will walk you through simplifying the expression (3x^3)(2y)^2(4x^4).

Understanding the Order of Operations

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

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

Breaking Down the Expression

  1. Simplify (2y)^2: This means we square both the 2 and the y, resulting in 4y^2.

  2. Rewrite the expression: Our expression now becomes (3x^3)(4y^2)(4x^4).

  3. Multiply the coefficients: Multiply the numbers 3, 4, and 4 to get 48.

  4. Multiply the variables: Multiply x^3 and x^4, remembering that when multiplying exponents with the same base, we add the powers. This gives us x^7.

Final Result

Putting it all together, we arrive at the simplified expression: 48x^7y^2.

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