1. The problem is to multiply the expressions $3s^2$ and $8s^5$. 2. The formula for multiplying terms with the same base is $a^m \times a^n = a^{m+n}$. 3. Multiply the coefficients: $3 \times 8 = 24$. 4. Apply the exponent rule to the variable $s$: $s^2 \times s^5 = s^{2+5} = s^7$. 5. Combine the results: $24s^7$. Therefore, the product of $3s^2$ and $8s^5$ is $24s^7$.