## Simplifying the Expression (-2c^4d)(-4cd)

This expression involves multiplying two monomials, each containing variables with exponents. Let's break down the process of simplifying it:

**1. Understanding the Properties**

**Multiplication of monomials:**When multiplying monomials, we multiply the coefficients (numerical parts) and add the exponents of the same variables.**Signs:**Multiplying two negative numbers results in a positive number.

**2. Applying the Properties**

**Coefficients:**(-2) * (-4) = 8**Variables:**c^4 * c = c^(4+1) = c^5 and d * d = d^2

**3. Combining the Results**

The simplified expression is **8c^5d^2**.

**Therefore, (-2c^4d)(-4cd) is equivalent to 8c^5d^2.**