If `x y z=0,` then find the value of `(a^x)^(y z)+(a^y)^(z x)+(a^z)^(x y)=` (a)3 (b) 2 (c)1 (d) 0

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 find (x+y)^(3)+(y+z)^(3)+(z+x)^(3)

The following steps are involved in finding the value of (a^(x+y))^(x-y)(a^(y+z))^(y-z)(a^(z+x))^(z-x) . Arrange them in sequantial order. (A) a^((x+y)(x-y).a^(y+z)(y-z).a^((z+x)(z-x)) (B) a^0=1 (C) a^(x^2-y^2).a^(y^2-z^2).a^(z^2-x^2) (D) a^(x^2-y^2+y^2-z^2+z^2-x^2)

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x+y+z=0 then what is the value of (1)/(x^(2)+y^(2)-z^(2)) +(1)/(y^(2)+z^(2)-x^(2)) +(1)/(z^(2)+x^(2)-y^(2)) ?