Yes, compete is a Scrabble word!
...and is worth 13 points in Scrabble, and 16 points in Words with Friends
compete
Verb
1. Compete for something; engage in a contest; measure oneself against others
What Scrabble words can I make with the letters in compete?
6 Letter Words
5 Letter Words
4 Letter Words
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3 Letter Words
2 Letter Words