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Verified answer
(1 /243)^1/5 + (729^1/2)^1/3 +(1/64^1/2)^1/2(1 /243)^1/5 + (729^1/6) +(1/64^1/4)
1/3 + 3 + 1/2 = (2+18+3)/6 = 23/6