The piece can stop anywhere in the composite move. Those pieces have Powers. Powers Powers are special abilities of pieces. The powers can be Passive or Active. Active powers only work when the piece moves or captures.
Passive powers act at the end of every turn.
The power base cost is just as a move base cost, representing the squares the power can affect. These affect the nature of the power. The Fiery Dragon has the Passive King Burn. King move is 20 points. Plus the Bishop movement of the Dragon gives a grand total of 170.