To estimate the distance of 5,686 miles as the product of a single digit number times a power of 10, we can round the distance to a value that maintains the significant digits.
The distance 5,686 miles can be approximated to 6,000 miles for simple calculation purposes.
In scientific notation, 6,000 can be expressed as:
\[ 6 \times 10^3 \]
Therefore, the correct answer from the provided options is:
6×10³.