## 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**.