## Simplifying the Expression (3xy)(7xy^2)

In mathematics, simplifying expressions involves combining like terms and performing operations according to the order of operations. Let's break down the process of simplifying the expression (3xy)(7xy^2).

### Understanding the Components

**Coefficients:**The numbers 3 and 7 are the coefficients.**Variables:**The variables are x and y.**Exponents:**The exponents are 1 for the first 'x' and 'y', and 2 for the second 'y'.

### Applying the Rules

**Multiplication of Coefficients:**Multiply the coefficients together: 3 * 7 = 21.**Multiplication of Variables:**Multiply the variables together, remembering that when multiplying exponents with the same base, you add the powers.- x * x = x^(1+1) = x^2
- y * y^2 = y^(1+2) = y^3

**Combining the Results:**Combine the results from steps 1 and 2.

### The Simplified Expression

Therefore, the simplified form of (3xy)(7xy^2) is **21x^2y^3**.