To find the product of the terms 3a, 24a², 2a, and 9, we follow these steps:
- Step 1: Multiply the coefficients together.
- The coefficients are 3, 24, 2, and 9.
- Calculating this gives: 3 × 24 = 72
- Then, 72 × 2 = 144
- Lastly, 144 × 9 = 1296.
So, the coefficient part of the product is 1296.
- Step 2: Now, multiply the variables.
- The variables are a, a², and a.
- When we multiply the variables, we add their exponents: a1 × a2 × a1 = a(1+2+1) = a4.
Combining both the coefficient and the variable part, we get:
The final product is: 1296a4