Final answer:
To find the product of 82 and 4.5 x 10⁵ in scientific notation, multiply the two numbers and then move the decimal point to the right until there is one non-zero digit to the left of the decimal point.
Step-by-step explanation:
To find the product of 82 and 4.5 x 10⁵ in scientific notation, we multiply the two numbers: 82 x 4.5 = 369. To express this in scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. In this case, we moved the decimal point after the 3, resulting in 3.69 x 10⁷. Therefore, the answer is option a, 3.69 x 10⁷.