(-3xy%5E4).jpeg "(-4xy^4)(-3xy^4)")
Multiplying Monomials: (-4xy^4)(-3xy^4)
This article will guide you through multiplying the monomials (-4xy^4) and (-3xy^4).
Understanding Monomials
A monomial is a single term algebraic expression that consists of a coefficient and one or more variables raised to non-negative integer exponents. In our case, both -4xy^4 and -3xy^4 are monomials.
Multiplying Monomials
To multiply monomials, we follow these steps:
- Multiply the coefficients: (-4) * (-3) = 12
- Multiply the variables: x * x = x^2 and y^4 * y^4 = y^8
Combining the Results
Now we combine the results from step 1 and 2 to get our final answer:
12x^2y^8
Conclusion
Therefore, the product of (-4xy^4) and (-3xy^4) is 12x^2y^8. This example demonstrates the simple process of multiplying monomials by combining coefficients and variables.