(4xy%5E2).jpeg "(5x^3)(4xy^2)")
Simplifying the Expression: (5x^3)(4xy^2)
This expression involves multiplying two monomials. Let's break down the process of simplifying it.
Understanding Monomials
Monomials are algebraic expressions consisting of a single term, formed by the product of constants and variables raised to non-negative integer powers. In our example, both (5x^3) and (4xy^2) are monomials.
Multiplication of Monomials
To multiply monomials, we follow these steps:
- Multiply the coefficients: Multiply the numerical coefficients of each monomial. In our case, 5 x 4 = 20.
- Multiply the variables: For each variable, multiply their powers by adding their exponents.
- x^3 * x = x^(3+1) = x^4
- y^2 * y = y^(2+1) = y^3
Simplifying the Expression
Combining the results from the previous steps, we get:
(5x^3)(4xy^2) = 20x^4y^3
Therefore, the simplified form of the expression (5x^3)(4xy^2) is 20x^4y^3.