Not always. Max power means absolutely nothing, and you can't use it to compare amplifiers. If an amp gives you a max rating and not an RMS, its almost certainly to be crap.
how does max power work? How long does the amp opperate at that max power, a tenth of a second, or what? what do the amps do, put a small cap in there and discharge it to get peak power?
An amplifier cannot produce max power for any meaningful length of time....... it is basically a BS rating that some companies use to make their amps sound like they can produce twice as much power as they actually can.
RMS is like average power for music, since music is not constant it always varies. RMS is what power the amp can sustain playing music nonstop and should be the whole spectrum of sound, 20Hz-20kHz, and at low distortion like under 0.5%. Peak could be any thing from max output at 1kHz only to any frequency that works running on 24 volts input power for 1 millisecond before the magic smoke comes out. That said a quality amp might well double its wattage to play a peak in the music like a hard bass hit. But as far as buying an amp, any peak number is pretty useless.