Final answer:
Knowing with which system the iPod has been synchronized is important for file compatibility and data transfer, as Mac computers use the HFS+ file system, while Windows uses FAT32.
Step-by-step explanation:
It is important to know with which type of system the iPod has been synchronized because iPods synchronized with Mac computers use Apple's HFS+ file system while iPods synced with Windows use FAT32. This is relevant because the file system dictates how data is stored and organized on the iPod, and can affect the interoperability with computers and other devices.
Mac file systems are often designed to work optimally with Mac software and hardware, whereas Windows computers use file systems like FAT32 or NTFS which are designed to work within the Windows environment. Knowing this can help resolve issues related to file compatibility, data transfer, and overall functionality of your iPod when used with different computers.