(2a^2b) (4ab^2)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (2a^2b) (4ab^2)

This article will guide you through simplifying the expression (2a^2b) (4ab^2).

Understanding the Expression

This expression involves multiplying two monomials, each containing numerical coefficients and variables with exponents. To simplify, we'll use the following rules:

• Multiplication of Coefficients: Multiply the numerical coefficients together.
• Multiplication of Variables: Multiply the variables together. When multiplying variables with the same base, add their exponents.

Simplifying the Expression

Let's break down the simplification process step by step:

1. Multiply the coefficients: 2 * 4 = 8

2. Multiply the 'a' variables: a^2 * a = a^(2+1) = a^3

3. Multiply the 'b' variables: b * b^2 = b^(1+2) = b^3

4. Combine the results: 8 * a^3 * b^3 = 8a^3b^3

Therefore, the simplified expression of (2a^2b) (4ab^2) is 8a^3b^3.