If `xyz=0` , then find the value of `(a^x)^(zy)+(a^y)^(zx)+(a^z)^(xy)`.

If xyz=0 , then find the value of [(k^(x))^y]^z-[(k^(y))^z]^x-[(k^(z))^x]^(y)

If x + y + z = 0 , then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(xy) is:

If x+y+z=6 and xy+zx+zy=10 then find the value of x^(3)+y^(3)+z^(3)-3xyz .

If (x + y + z) = 12, xy + yz + zx = 44 " and " xyz = 48 , then what is the value of x^(3) + y^(3) + z^(3) ?

If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^(2) + y^(2) z^(2)

If x>y>z>0, then find the value of cot^(-1)(xy+1)/(x-y)+cot^(-1)(yz+1)/(zy-z)+cot^(-1)(zx+1)/(z-x)