Ответ:

  1. ∛(3/2)·∛(2 1/4) = ∛((3/2)·(9/4)) = ∛(27/8) = 3/2.

  2. ⁴√(3/4)·⁴√(6 3/4) = ⁴√((3/4)·(27/4)) = ⁴√(81/16) = 3/2.

  3. ⁴√(15 5/8):⁴√(2/5) = ⁴√(625/16) = 5/2.

  4. ∛(11 1/4):∛(3 1/3) = ∛((45/4):(10/3)) = ∛(27/8) = 3/2.

  5. (∛√27)² = (27^(1/6))² = 27^(1/3) = 3.

  6. (√∛16)³ = 16^(1/2) = 4.