The sum of all real values of k for which (18)k×(132768)13=18×(132768)1k\left(\cfrac{1}{8}\right)^{k}\times \left(\cfrac{1}{32768}\right)^{\cfrac{1}{3}}=\cfrac{1}{8}\times \left(\cfrac{1}{32768}\right)^{\cfrac{1}{k}}(81)k×(327681)31=81×(327681)k1, is
23\cfrac{2}{3}32
43\cfrac{4}{3}34
−23-\cfrac{2}{3}−32
−43-\cfrac{4}{3}−34
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