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Verified answer
2^(5/12) . 12^(5/6)--------------------------
8^(3/4) . 6^(1/3)
...2^(5/12) . (2^2 . 3)^(5/6)
= ----------------------------------
....(2^3)^3/4 . (2 . 3)^(1/3)
...2^(5/12) . 2^(5/3) . 3^(5/6)
= ------------------------------------
....2^(9/4) . 2^(1/3) . 3^(1/3)
...2^(25/12) . 3^(5/6)
= ---------------------------
...2^(31/12) . 3^(1/3)
= 2^(-6/12) . 3^(3/6)
= 2^(-1/2) . 3^(1/2)
...3^(1/2)
= ---------
...2^(1/2)
= (3/2)^(1/2) (E)