Hey there,
Glad to hear you are enjoying Muay Thai so far!
A tip (I wish I'd been told this when I first started). A strong core is the fundament of a powerful strike...it is the centre of strength for all rotational moves. When I started training my core regularly it really helped me improve the strength of my striking and kicking so if you start doing those exercises as a beginner you are definitely going to be a strong muay thai fighter.
There is a great website that I use to get new (and hard core) ab exercises from. They show you free videos of the moves so it is really easy to follow. You should check it out for ideas...it's
FitSquad.ca | High efficiency workouts, personal training, abdominal exercises, free ab videos, free core workouts.
Rouven