Final answer:
The time it takes for light to travel one mile, approximately 0.000005368 seconds, written in scientific notation is 5.368 x 10^-6 seconds.
Step-by-step explanation:
To express the estimated time it takes for light to travel a distance of one mile, which is approximately 0.000005368 seconds, as a single digit times a power of 10, we need to convert the number into scientific notation. Scientific notation is written as the product of a number between 1 and 10 and a power of 10. In this case, we can write 0.000005368 seconds as 5.368 × 10-6 seconds.