To find the product of the expression 3a, 24a², 2a, and 9, we will multiply these terms together step by step.
1. **Identify the coefficients and variables:**
- Coefficients: 3, 24, 2, and 9
- Variables: a, a², and a (remember that a can be thought of as a¹)
2. **Multiply the coefficients together:**
- 3 * 24 = 72
- 72 * 2 = 144
- 144 * 9 = 1296
So, the product of the coefficients is 1296.
3. **Combine the variables:**
- For the variables, we add the exponents together. The exponents are:
- a (which is a¹), a², and a (again, a¹).
- Thus, 1 + 2 + 1 = 4.
This means we have a⁴.
4. **Combine the results:**
Putting the product of the coefficients and the combined variable together, we get:
1296a⁴
Therefore, the final product of 3a, 24a², 2a, and 9 is: