(2a2b)(4ab2) Answer

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (2a²b)(4ab²)

This expression involves multiplying two monomials. To simplify, we can use the following steps:

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

2. Combine the variables: For each variable, multiply the exponents together:

   • a² * a¹ = a³
   • b¹ * b² = b³

3. Write the simplified expression: Combine the results from steps 1 and 2. The simplified expression is 8a³b³.

**Therefore, the answer to (2a²b)(4ab²) is 8a³b³. **

Explanation:

The multiplication of variables with exponents follows the rule: xⁿ * xᵐ = xⁿ⁺ᵐ. This rule states that when multiplying exponents with the same base, you add the powers together.