Final answer:
To calculate ((3.1 X 10^5)(2.2 X 10^7)), multiply the base numbers to get 6.82 and add the exponents to get 12, resulting in a product of 6.82 X 10^12 (option A).
Step-by-step explanation:
To find the product of two numbers in scientific notation, you multiply the base numbers and add the exponents. So, the calculation for ((3.1 X 10^5)(2.2 X 10^7)) involves multiplying 3.1 by 2.2, and adding the exponents 5 and 7.
The base numbers multiply to give 3.1 X 2.2 = 6.82. Adding the exponents, we get 5 + 7 = 12. So the product in scientific notation is 6.82 X 10^12, which matches option A.