Решение
а) ∛2 *∛4 = ∛(2*4) = ∛8 = ∛(2³) = 2
б) (243)¹/⁵ = (3⁵)¹/⁵ = 3
(4 17/27)¹/³ = (125/27)¹/³ = (5³ / 3³)¹/³ = 5/3 = 1 (2/3)
(243)¹/⁵ + (4 17/27)¹/³ = 3 + 1 (2/3) = 4 (2/3)
в) √(12 - 4√5) * √(12 + 4√5) = √[(12 - 4√5) * (12 + 4√5)] =
= √[(12² - (4√5)²] = √(144 - 16*5) = √64 = 8
г) [(-1/3) * (18)¹/⁶]⁶ = (1/3)⁶ * 18 = 18/729 = 2/81