Simplifying the Expression (2a²b)(4ab²)
This expression involves multiplying two monomials. To simplify, we can use the following steps:

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

Combine the variables: For each variable, multiply the exponents together:
 a² * a¹ = a³
 b¹ * b² = b³

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.