Other Rules:
Power shots score more points.
If your opponent attacks but you do not show any reaction, that is NOT a power shot. But, if you attack your opponent and he shows a visible reaction (such as flinching or turning away from the strike) this will score to your favor. This aspect of the fight is often overlooked by viewers who are not familiar with the scoring system.
Another often misunderstand point is the role of dominance in a Muay Thai Fight.
Fighters will often pop up immediately when sweeped or knocked down and continue to fight.