Short:
If you put two new Alkaline AA batteries in the camera it should easily supply the flash well enough for one 24 or 36 exposure film. I would be extremely surprised if it didn't. Note - use Alkaline batteries - not "Heavy Duty" or whatever. Super high price exorbitant profit Lithium batteries are not needed. (If you have a vanishingly rare* optional 4 shot FP4 film pack you may be out of luck.)
- Alkaline identification: FWIW - you can tell that an AA batery IS an Alkaline by measuring the new open circuit voltage. It should be 1.6V or more. Long shlef stored Alkalines MAY fall to nearer 1.55V but anything under 1.55V is not a new Alakline. Battery weigt should be 22.5+ grams. (About 0.8 Ounce)
Flashes cycle to full power and then light a "ready" indicator. The level of flash output is relatively constant regardless of battery state across much of the battery range. I have found that with the Sony 3600 flash the output definitely falls at the very tail end of battery life, "ready indicator" or no, but it's OK across 90% +.
Flash charging time is a good indicator of battery state. If you roughly measure the charging time with new batteries then as long as it does not increase by a factor of 2 to 3 times you are liable to be OK. The especially paranoid could take a number of
flash shots with no film and time and plot the recycle times. {It's the sort of thing that I might do]. The downside is the wear on camera and flash on a bottom end toy may just possibly prove fatal if its well used. This is unlikely but worth mentioning.
Longer:
I sometimes use 4 x AA batteries in a guide number 56 flash. Under high use conditions my memory says that I get 100+ flashes. Energy use increases with the square of guide number soi, even allowing for probable variations in flash power supply efficincy, if you flash guide number was around 18 or less (and it may be much lower than that not be that high) then you'd get about (56/19)^2 guide numbers x 100 my flashes x 2/4 batteries ~~~~= 400+ flashes.
A random stranger here suggests guide number = 14.
This Konica C35 manual - which may or may not be directly equivalent, says
- The guide number is 90 with ASA 80 to 125 for flash cubes and 45 for the MONICA Electronic Flash X-14.
How your flash relates to the X-14 is uncertain, but it gives an indication what Konica thought was useful. That may be feet rather than metres - which converts to a more sensible GN = 15.
A Sony NEX-7 internal flash has a GN of 6 metres ! That's for the camera with the finest still image quality of any APS-C camera, bar noneaccording to DPREVIEW so KM might be expected to have something somewhat lesss capable on the POP.
AA Alkaline batteries are cheap compared to the value of your time and expectations.