The word exhaustively 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: 29
Highest Scoring Words With Friends™ Play In The Letters exhaustively
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Seven Letter Word Alert: (28 words)
atheise, auletes, elative, elixate, eluates, elusive, estival, eustely, eustyle, evilest, exhales, exhaust, eyelash, eyeslit, halites, hastily, heavily, helixes, hyalite, luxates, sextile, shuteye, sixthly, suavely, suavity, sylvite, thieves, yeshiva