## Simplifying (5x²)(3x)

This expression involves multiplying two monomials, where a monomial is a term with a coefficient and variables raised to non-negative integer exponents. Here's how to simplify it:

### Understanding the Properties of Multiplication

**Commutative Property:**The order of multiplication doesn't affect the result. So (5x²)(3x) is the same as (3x)(5x²).**Associative Property:**We can group the factors in any way we want. So (5x²)(3x) is the same as 5(x²)(3x).

### Simplifying the Expression

**Group the coefficients and variables:**5(x²)(3x) = (5 * 3)(x² * x)**Multiply the coefficients:**(5 * 3)(x² * x) = 15(x² * x)**Apply the product of powers rule:**x² * x = x^(2+1) = x³**Combine the results:**15(x² * x) = 15x³