The word exarchates is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 22
Highest Scoring Words With Friends™ Play In The Letters exarchates
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Seven Letter Word Alert: (25 words)
acaters, acerate, aerates, caseate, cerates, chaster, cheater, creates, earache, etchers, exacter, exarchs, excreta, heaters, hectare, hetaera, reaches, recheat, reheats, retaxes, retches, reteach, teacher, teaches, trachea