Final answer:
The best estimate for the product of (3.3 x 10⁴) and (8.9 x 10⁸) in scientific notation is 29.37 x 10¹².
Step-by-step explanation:
To estimate the product of numbers in scientific notation, you can multiply the coefficient part and add the exponents. In this case, (3.3 x 10⁴) multiplied with (8.9 x 10⁸) would have a coefficient of 3.3 x 8.9 = 29.37. The exponents would be added: 4 + 8 = 12. Therefore, the best estimate for the product in scientific notation is 29.37 x 10¹², which corresponds to option (a).