Final answer:
Using the distributive property, the product of (7r · 3s²) and (2r²s) is 42r³s³ after multiplying 7r with 2r² and 3s² with s and combining the products.
Step-by-step explanation:
To use the distributive property to find the product of (7r · 3s²) and (2r²s), we need to apply the property to multiply each term in the first expression by each term in the second expression. The distributive property states that a(b + c) = ab + ac. When there are more terms, the property can be extended to include all possible product pairs. In our case, we only have single terms to multiply:
- First, we multiply the r terms: 7r · 2r² = 14r³.
- Second, we multiply the s terms: 3s² · s = 3s³.
- Finally, we multiply the products of r and s terms: 14r³ · 3s³ = 42r³s³.
Therefore, the product of (7r · 3s²) and (2r²s) is 42r³s³.