Final answer:
The product of (3.1 x 10^5) (2.2 x 10^7) is 6.82 x 10^12, which corresponds to choice B. 6.82 x 10^12.
Step-by-step explanation:
To find the product of (3.1 \times 10^5) (2.2 \times 10^7) in scientific notation, you multiply the decimal parts and then the powers of ten separately. Multiplying the decimal parts, 3.1 times 2.2 equals 6.82. For the powers of ten, add the exponents according to the rule a^m \times a^n = a^{m+n}, which in this case is 10^5 \times 10^7 = 10^{12}. Therefore, the product in scientific notation is 6.82 \times 10^{12}.
Now let's choose the correct answer based on the multiplication:
- A. 5.5 \times 10^{12} (Incorrect)
- B. 6.82 \times 10^{12} (Correct)
- C. 5.5 \times 10^{35} (Incorrect)
- D. 6.82\times 10^{35} (Incorrect)