RMS means 'root mean squared'. It near literally means 'average' power, but because a bases output (like music in general) us full of big dynamics and lots of different frequencies, your amp can put out maybe 8 times as much, if only for a small fraction of a second, as what it can do for averaged over a few seconds of usual playing. there are only really ways of approximating what your typical music program source actually makes an amp and speaker arrangement do, in terms of transducing electricity into sound. so what you're up against is a load of different ideas about what the best approximation is.
And that's when the manufacturers marketing geeks get hold of it, and the figures can magically grow of their own accord... Lots are guilty of this, but that's another thread.