There are pros and cons for each.
Powered speakers tend to be heavier because of the built in amp. Also you need to run a power cable to each speaker and a signal speaker.
Powered speakers are usually matched up very well with their internal amp so you are getting the best you can out of them.
with powered speakers you only need a passive mixers, and sometimes if a jiff you can plug directly into the speakers themselves without a mixer.
Non-powered takes a little more skill and patience.
they are lighter, come in more variations but you need to feed them power.
IT can be from a powered mixer or power amp, but now it's up to you to match the proper power levels do a little more eqing.
Generally when I set-up [erformers or bands I need a couple of questions answered first.
1. how many pieces
2. what type of music
3. how big a crowd
4. what size/type of venue
5. who's gonna carry the stuff
6. who's running the stuff
7. what kind of budget
if you'd like you can call me or email for more info