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

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2a²b)(4ab²)

To simplify the expression (2a²b)(4ab²), we'll use the following rules:

• Multiplication of coefficients: Multiply the numerical coefficients together.
• Multiplication of variables: Multiply the variables with the same base by adding their exponents.

Let's break it down step-by-step:

1. Multiply the coefficients: 2 * 4 = 8

2. Multiply the 'a' variables: a² * a = a^(2+1) = a³

3. Multiply the 'b' variables: b * b² = b^(1+2) = b³

4. Combine the results: 8 * a³ * b³ = 8a³b³

Therefore, the simplified expression of (2a²b)(4ab²) is 8a³b³.