If `21168=x^(4)xxy^(3)xxz^(2)`, find `(x+y+z)^((y+z)/(x+y))`, where `x, y` and `z` are positive integers.

if (30)/(7)=x+(1)/(y+(1)/(z)) where x,y,z are positive integers then value of (x+y+z) equals

Find the greatest value of x^(2)y^(3)z^(4) if x^(2)+y^(2)+z^(2)=1, where x,y,z are positive.

If (z^(x ^(2 ) +y ^(2)))/(z ^(-2xy ))= (z ^(3)), x and y are positive integers, and x gt y, what is the value of x -y ?

If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive numbers. Find x, y & z=?

If 2x = 3y = 4z, find x:y: z.

If x, y, and z are consecutive integers, is x+y+z divisible by 3?

If (x^y)^z = x^y ^ ^z where each of x, y and z is greater than 1, then find y in terms of z.

((x-y)^(3)+(y-z)^(3)+(z-x)^(3))/((x-y)(y-z)(z-x))=