(2a2b)(4ab2) Simplify

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (2a²b)(4ab²)

In algebra, we often encounter expressions involving variables and coefficients. Simplifying these expressions involves combining like terms and applying the rules of exponents. Let's explore how to simplify the expression (2a²b)(4ab²).

Understanding the Rules

To simplify this expression, we'll utilize the following rules:

• Multiplication of coefficients: Multiply the numerical coefficients together.
• Product of powers with the same base: When multiplying powers with the same base, add their exponents.

Step-by-Step Simplification

1. Multiply the coefficients: 2 * 4 = 8
2. Combine the 'a' terms: a² * a = a²⁺¹ = a³
3. Combine the 'b' terms: b * b² = b¹⁺² = b³

Final Result

By combining the results from each step, we arrive at the simplified expression:

(2a²b)(4ab²) = 8a³b³

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