The word purposelessly 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: 24
Highest Scoring Words With Friends™ Play In The Letters purposelessly
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Seven Letter Word Alert: (47 words)
elopers, elusory, espouse, leprosy, leprous, lessors, loppers, oppress, ospreys, peoples, pepless, peruses, plusses, polypus, popeyes, poseurs, presell, presses, pressup, propels, pullers, pulleys, pulpers, pulsers, purples, purpose, pylorus, pyropes, repolls, reposes, repulse, resells, resoles, respell, sellers, slopers, soppers, speller, sporule, spouses, suppers, suppler, suppose, upslope, useless, yellers, yelpers