My ongoing adventures with my A2000.

[terminator4]

Black Screen?

First congrats on your gift.  If battery did not leak (you can tell its fairly obvious) then its likely alive & well.
1) if it has leaked or hasn't remove it that battery (just cut above the pcb (give yourself some left overs to which you may want to solder the new battery).
2) strip all the hardware cards.  then plug into the mono video connector at back to tv or via RGB port to your Amiga monitor (don't forget there's an rgb swich at front for 1084 etc monitors).
3) if still no luck, then contact me and i got a denise (graphics chip) for ya!
T4 :-D

[terminator4]

I hate to say it but your battery may have already leaked (looking at photos).
make sure you clean the area very well after you remove that thing.  try with flat screwdriver removing some of that stained green - if its coming off with "sand" like material then you know it did leak.  don't butcher it - no need to remove the rest - but then you know even more that you must clean it well. :idea: