Product of Monomials S², -Sm, Sm³n
Monomials are algebraic expressions consisting of a single term. In this case, we are given the monomials S², -Sm, and Sm³n and we need to find their product.

Product Calculation:
Let's break down the product of the given monomials step by step:
- S² * -Sm = -S³m²
- -S³m² * Sm³n = -S³m² * Sm³n
- Multiplying the coefficients: -1 * 1 = -1
- Multiplying the variables with the same base: S³ * S = S⁶
- Multiplying the variables with different bases: m² * m³n = m²⁺³n = m⁵n

Final Product:
Therefore, the product of the monomials S², -Sm, and Sm³n is -S⁶m⁵n.
This product is obtained by multiplying the coefficients together and adding the exponents of the variables with the same base. It is essential to carefully apply the rules of exponents and coefficients when multiplying monomials to arrive at the correct product.