2007 750 gsxr shut off while riding, no electric power. checked battery and fuses. turn the key and nothing.

Check and test k i LL switch first then need test and check battery fuse wiring connection's

Could be ignition fuse. If not that then check the large block connectors which are usually located on the left hand side at the front of the bike behind the cowling beneath the handle bar. These connectors are notorious on GSXR's

I had this problem before it turned out to be a bad coupling from the generator, but also check earths are good and tight and voltage check that battery to be sure.

The tire has nothing to do with the loss of power. Check the fuse panel. Also check the battery. Occasionally an internal short can occur in a battery causing this type of problem. Also, an abraded wire could be shorting out causing the fuse to blow.

Check that the battery cables are secure (specifically the ground)

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If it died while riding, this could be a broken wire, harness plug come loose, of faulty ignition switch, you will need to use a test light to check where the power is getting to.
The ignition switches switch a couple of different contacts when you turn the key, which could explain why the neutral lights come on and nothing else.

clean all your connections from battery to starter and negative cable and locate your power fuse and check it

could well be..check the fuse's in the fuse box...its under the seat

I would check tue key switch first, then seat switch.

Check fuse link.