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)`

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: xy^(2)3-:sqrt(x^(2)y)( ii) x^(2)34

Assuming that x ,\ y ,\ z are positive real numbers, simplify each of the following: (sqrt(x))^(-2/3)\ sqrt(y^4)-:\ sqrt(x y^(-1/2)) (ii) root(5)(243\ x^(10)y^5z^(10))

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: (i)\ ((x^(-4))/(y^(-10)))^(5/4) (ii)\ ((sqrt(2))/(sqrt(3)))^5\ (6/7)^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 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 . (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)))

Simplify each of the following: (i) root(3)4xx root(3)(16) (ii) root(4)(1250)/(root(4)(2))

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)