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

Jasonbradley

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Jun 16, 2024

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

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

Understanding the Basics

The expression (3xy^2)(2x^2y^3) involves multiplying monomials. Monomials are algebraic expressions with a single term, containing variables and constants. Here's what we need to know:

• Multiplication of Variables: When multiplying variables with the same base, we add their exponents. For example, x² * x³ = x^(2+3) = x⁵.
• Multiplication of Constants: Constants are multiplied as usual.

Simplifying the Expression

1. Rearrange terms: (3xy^2)(2x^2y^3) = 3 * 2 * x * x² * y² * y³

2. Multiply the constants: 3 * 2 = 6

3. Apply the rule for multiplying variables: x * x² = x^(1+2) = x³ y² * y³ = y^(2+3) = y⁵

4. Combine the simplified terms: 6x³y⁵

Final Result

Therefore, the simplified expression of (3xy^2)(2x^2y^3) is 6x³y⁵.