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Step-by-step explanation:
(1) (81/49)^-3/2 = (49/81)^3/2
= (√49/√81)^3
= (7/9)^3
= 343/729
(2) (32/243)^-4/5 = (243/32)^4/5
= [(243^1/5)/(32^1/5)]^4
= (3/2)^4
= 81/16
(3) [(3^4)]^1/4 = 3
(4) [(3^1/3)]^4 = [(3^4)]^1/3
= (81)^1/3
= ∛81
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