Gambatte (GAHM-baht-teh)

From the Japanese, meaning "good luck", "do your best", "keep at it", or anything equivalent. Usually said in order to provide encouragement or motivation to someone.

ex. - It looks like you've got a tough final today! Gambatte!

Source: Animeinfo.org - Otaku Dictionary.
http://www.animeinfo.org/odiction.html