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

2 min read Jun 17, 2024
(x^2y)(4xy^3)

Simplifying the Expression (x²y)(4xy³)

In mathematics, simplifying expressions is a fundamental skill. Let's break down how to simplify the expression **(x²y)(4xy³) **.

Understanding the Basics

  • Variables: 'x' and 'y' represent unknown values.
  • Exponents: The superscript numbers (2 and 3) indicate how many times the variable is multiplied by itself. For example, x² = x * x.
  • Coefficients: The number '4' is the coefficient, multiplying the variables.

Simplifying the Expression

  1. Combine Coefficients: Multiply the coefficients together: 1 * 4 = 4

  2. Combine x-terms: Multiply x² by x: x² * x = x³ (remember, when multiplying variables with exponents, add the exponents).

  3. Combine y-terms: Multiply y by y³: y * y³ = y⁴ (again, add the exponents).

The Final Result

Putting it all together, the simplified expression is 4x³y⁴.

Key Points

  • Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying expressions.
  • Exponents: When multiplying variables with exponents, add the exponents.
  • Coefficients: Multiply coefficients together as normal.

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