(3x^2y^3)(6xy^5)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (3x²y³)(6xy⁵)

This article will walk you through the process of simplifying the algebraic expression (3x²y³)(6xy⁵).

Understanding the Basics

Before we begin, let's review a few key concepts:

• Coefficients: Numbers that multiply variables (e.g., 3 in 3x²y³)
• Variables: Letters representing unknown values (e.g., x and y)
• Exponents: Small numbers written above and to the right of a variable indicating repeated multiplication (e.g., ² in x² means x * x)

Simplifying the Expression

1. Identify the coefficients and variables:

   • Coefficients: 3 and 6
   • Variables: x and y

2. Multiply the coefficients: 3 * 6 = 18

3. Combine the 'x' variables: x² * x = x^(2+1) = x³ (Remember: when multiplying variables with exponents, add the exponents)

4. Combine the 'y' variables: y³ * y⁵ = y^(3+5) = y⁸

5. Combine the results: 18x³y⁸

Final Answer

The simplified form of the expression (3x²y³)(6xy⁵) is 18x³y⁸.