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(2a2b)(4ab2)

2 min read Jun 16, 2024
(2a2b)(4ab2)

Simplifying Expressions: (2a²b)(4ab²)

This article will guide you through the process of simplifying the expression (2a²b)(4ab²).

Understanding the Basics

  • Variables and Coefficients: The expression consists of variables (a and b) and coefficients (2 and 4).
  • Exponents: Each variable has an exponent associated with it. For example, 'a²' means 'a multiplied by itself twice' (a * a).

Simplifying the Expression

  1. Rearrange the terms:
    The commutative property of multiplication allows us to rearrange the terms. (2a²b)(4ab²) = 2 * 4 * a² * a * b * b²

  2. Combine coefficients:
    Multiply the coefficients together. 2 * 4 = 8

  3. Combine variables with the same base: When multiplying variables with the same base, add their exponents. a² * a = a^(2+1) = a³ b * b² = b^(1+2) = b³

  4. Final simplified expression: Putting it all together, we get: 8a³b³

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

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