## Multiplying Monomials: (-7x²y⁴)(-2x³y⁴)

This article will guide you through multiplying the monomials **(-7x²y⁴)(-2x³y⁴)**. We'll break down the process step by step, covering the key concepts involved.

### Understanding Monomials

A **monomial** is a single term algebraic expression that consists of a coefficient (a number), one or more variables, and possibly exponents. For example, -7x²y⁴ and -2x³y⁴ are both monomials.

### Multiplying Monomials

To multiply monomials, we follow these steps:

**Multiply the coefficients:**In our case, we multiply -7 and -2, resulting in 14.**Multiply the variables:**We combine the variables with the same base by adding their exponents. For the variable 'x', we add 2 and 3, getting x⁵. For the variable 'y', we add 4 and 4, resulting in y⁸.

### Applying the Steps

Let's apply these steps to our problem:

(-7x²y⁴)(-2x³y⁴) = ( -7 * -2 ) ( x² * x³ ) ( y⁴ * y⁴ )
= **14x⁵y⁸**

### Conclusion

Therefore, the product of (-7x²y⁴) and (-2x³y⁴) is **14x⁵y⁸**. This example demonstrates the straightforward process of multiplying monomials, which involves multiplying coefficients and combining variables with the same base by adding their exponents.