Taking 10 on the Knowledge (Technology) check gets a 30. (My M&M book says you can take 10 on Knowledge checks, but can only Take 20 if you've got a library [and time].)
And, should Archeville figure out a safe way to disable it, I'll also go ahead and say Taking 10 on a Disable Device check gets a 28. (My M&M book says I can Take 10 if conditions permit, but not 20, and since all the Goons/Guards/Thugs seem KO'd, it seems conditions do allow a Take 10.)
I say "my M&M book" because I do not know if recent printings/errata have changed it. AFAIK, they have not.