Assuming that `x , y` are positive real numbers, simplify each of the following: (i) `sqrt(x^(-2)y^3)` (ii) `(x^(-2)doty^(-1/2))^2` (iii)`(sqrt(x^(-3)))^5`

Assuming that x,y,z are positive real numbers,simplify each of the following: sqrt(x^(-2)y^(3)) (ii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Assuming that x,y,z are positive real numbers,simplify each of the following: xy^(2)3-:sqrt(x^(2)y)( ii) x^(2)34

Assuming that x,y are positive real numbers, simplify each of the following: sqrt(x^(-2)y^(3))(ii)(x^(-2)*y^(-(1)/(2)))^(2)(sqrt(x^(-3)))^(5)( iv) sqrt((x))^(-(2)/(3))sqrt(y^(4))+sqrt(xy^(-(1)/(2)))root(3)(xy^(2))-:x^(2)y(vi)root(3)(x^(2))

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)))

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (x^(-2/3)\ \ y^(-1/2))^2

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) sqrt(x^(3)y^(-2))( iii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (i)\ (sqrt(x^(-3)))^5 (ii) sqrt(x^-2y^(3)) (iii) (x^(-2/3)\ y^(-1/2\ ))^2

Assuming that x , y , z are positive real numbers, simplify each of the following: (i) (sqrt(x))^(-2/3)\ \ sqrt(y^4)\ -:\ sqrt(x y^(-1/2))

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))

Assuming that x , y , z are positive real numbers, simplify each of the following: (i)\root(3)(x y^2) \ -:\x^2y (ii)\ root(4)root(3)(x^2)