Lepai ? They're only about twenty bucks US
Their true power is a fraction of what's advertised, Google will find test reports that show true power is overstated by about 4X.
To OP's original question,
The meaning is it should deliver thirty watts into its load.
Marketeers of audio stuff know how to lie with statistics
real useable power is called "RMS" which is not exactly taking the average but very similar.
For a very brief instant an amplifier can deliver watts nearly equal to (its supply voltage squared ) divided by (resistance of its load) ..
That is called 'Peak Instantaneous Power" and it's a pure marketing ploy "of dubious integrity", to borrow a phrase from Janis Ian...
It can deliver that power for only milliseconds not continuously.
Note the Lepai with supply voltage of nominal 12 volts and a load of four ohms might claim "peak instantaneous power" of perhaps almost 12
2 / 4 = 36 watts , and they do claim 30.
I'd expect realistically seven to twelve.
Manufacturers can include an internal booster power supply to give the amplifier higher voltage, which is how those preposterous car "Boomer " amps work, but don't expect that in your ten dollar Lepai.
Here's an article to peruse, written by engineers for anyone who wants to learn.
http://www.ti.com/lit/an/slea047a/slea047a.pdf
old jim