(%E2%80%934cd).jpeg "(−2c4d)(–4cd)")
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.