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

Assuming that x,y,z are positive real numbers,simplify each of the following: ((x^(-4))/(y^(-10)))^((5)/(4))( ii) ((sqrt(2))/(sqrt(3)))^(5)((6)/(7))^(2)

Expand each of the following (sqrt(2x)-3y)^(2)( ii) (2x-(1)/(3x))^(2)

Expand each of the following: ( i (3x+4y)^(2) (ii) (3x-4y)^(2)

Simplify each of the following: 7x^3y+9y x^3 (ii) 12 a^2b+3b a^2