" Simplify: "quad root(4)(81x^(8)y^(4)z^(16))

Simplify root(4)(81x^(8) y^(4)z^(16))

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 root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))

The square root of (256x^(8)y^(4)z^(10))/(25x^(6)y^(6)z^(6)) is equal to

Simplify: (15x^(5)y^(-2)z^(4))/(5x^(3)y^(-3)z^(2))

Simplify: (x+y-2z)^(2)-x^(2)-y^(2)-3z^(2)+4xy

Simplify (81)^(0.16) xx (81)^(0.09)

Simplify : root4(81)-8root3(343)+15 root5(32)+sqrt(225)