The mainboard revision of the SNES can only be definitively identified by disassembling the unit. This is primarily due to consoles being “shell-swapped” during repairs throughout the years. The serial number found on the bottom of the console isn't a reliable way of identifying revisions precisely, but can land pretty closely.
The mainboard revision is silk-screened on the bottom right-hand corner. See below:
“2CHIP” SNES revisions are:
“1CHIP” SNES revisions are: