The word nonexploratory 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 nonexploratory
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Seven Letter Word Alert: (40 words)
annoyer, aplenty, apteryx, entropy, exoloop, explant, lantern, nepotal, nonlate, nonleap, nonplay, nonreal, operant, oratory, ornater, oxolane, oxytone, partner, penalty, planner, planter, platoon, plenary, polaron, pontoon, portray, praetor, prelaty, pronate, pronely, prorate, protean, pteryla, pyrrole, realtor, reannoy, replant, tannery, ternary, trooper