## Simplifying Expressions: (7xy²)(2x⁴y³)

In mathematics, simplifying expressions often involves combining like terms and applying the rules of exponents. Let's break down the process of simplifying the expression **(7xy²)(2x⁴y³) **

### Understanding the Rules

**Multiplication of Variables:**When multiplying variables with the same base, add their exponents. For example, x² * x³ = x⁵.**Multiplication of Coefficients:**Treat the coefficients like regular numbers and multiply them together.

### Step-by-Step Simplification

**Multiply the coefficients:**7 * 2 = 14**Combine the 'x' terms:**x¹ * x⁴ = x⁵ (Remember that x has an implicit exponent of 1)**Combine the 'y' terms:**y² * y³ = y⁵

### The Simplified Expression

By combining the steps above, we arrive at the simplified form:

**(7xy²)(2x⁴y³) = 14x⁵y⁵**

### Conclusion

Simplifying expressions like (7xy²)(2x⁴y³) involves applying basic rules of exponents and multiplication. This process can be broken down into smaller, manageable steps to ensure accuracy and understanding.