I looked at reviews of the 564 around the web and found this comment:
"What I didn't [like]:
No phantom power. I had to purchase a separate phantom power box for my Audio Technica condenser mic."
However, most other comments about the unit were raves, so don't give up on it. It was a state of the art $1500 machine in 1996.
Most condenser mics require "power" to bring their output up to the levels needed at the 4 XLR inputs of your 564. As mentioned, dynamic mics do not to be powered. The power is supplied either by a battery/transformer that is either in the body of the mic or in a separate unit right before the XLR output, OR by "phantom power," which is supplied through the XLR cable to the mic from a microphone preamplifier or mixer, OR both (in some cases).
In catalogs, condenser mics will be listed as "battery," "phantom" or "both" (meaning either). As condensers have become less expensive and therefore more universally available, "phantom only" has also become more common. Today, Tascam wouldn't think of putting out a $1500 digital Portastudio that didn't have phantom power capabilities -- it shows you how much things can change in 5 years.
Your options at the moment are to stick with dynamic mics, look for condensers with the battery option (some will be older mics), or find an inexpensive mic preamp or phantom power supplier for any condenser that you buy. I noticed an NT1 on eBay the other day that was being sold with a phantom power supply, for instance. Likewise, I recently bought a Rane MS-1 for about $63 (haven't received it yet) to use with recorders that don't have any microphone capability (just RCA inputs).
Yours was/is not a stupid question at all. By all rights, you'd expect Tascam to have included phantom power capability in your MD multi-track recorder. Since they didn't, you'll need to find a work-around.
Best wishes,
Mark H.