I missed that part of the tutorial and never really matterred to me whether or not I knew.
Now, there are some things I've read on these forums that make me want to know now.
I thought it said something about holding down the attack button (mouse 1 or whatever hand your weapon is in) but I do that and it seems not to make a difference.
It's just that, rather than tapping the mouse button you hold it.
To notice the difference more easily do it with a big 2 handed weapon. The power attack with dual wielding weapons doesn't look too different from simply smashing both of the mouse buttons repeatedly.
You would know if you did a power attack or not by seeing if your Stamina bar emptied. If it is already empty you of course won't be able to do to begin with.