Assuming  that x,y,z are positive  real numbers,  simplify each of the  following .
Channel: Doubtnut
Date: 2020-04-19

Assuming  that x,y,z are positive  real numbers,  simplify each of the  following .     (i) `sqrt(x^(3)y^(-2))` (ii) `  (x^(-2//3) y^(-1//2))^(2)`   (iii) `((x^(-4))/(y^(-10)))^((5)/(4))`    (iv) `root4(81 x^(8)y^(8)z^(16)) div root3(27x^(3)y^(6)z^(9))`    (v) `root5(x^(4) root4(x^(3)root3(x^(2)sqrt(x))))`    (vi) `(sqrt(x))^(-(2)/(3)) sqrt(y^(4)) div sqrt(xy^(-(1)/(2))) sqrt(x^(-2)y^(3))`