When skiing cleanly on the edges of your skis, you gain speed very quickly. If, at the same time, you turn sharply, you need to lean heavily into the turn in order to keep your balance because of strong external forces.
On a pair of fun carving skis, you can challenge centrifugal force. Ski a set of medium radius turns down the hill. Attempt to ski as cleanly on the edges of your skis as possible. The more speed you have, the further you will need to lean into the turn. If the speed is great enough and your balance is good, you will be able to lean completely over and touch the snow with your hand.
The more angulation, the more carving.
You can practice this exercise either with or without ski poles, however it is more enjoyable to do it without. The same goes for the next exercise. Skiing without poles gives you a sense of freedom and enjoyment in a way you may not have experienced before.
Skiing without poles.