If a, b, c are in A.P. and x, y, z are in G.P.then the value of x^(b-c) y^(c-a) x^(a-b)

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If a,b,c are in AP and x,y,z are in GP, then the value of x^(b-c).y^(c-a).z^(a-b) is...... If a,b,c are in AP and x,y,z are in GP, then the value of x^(b-c).y^(c-a).z^(a-b) is......
If a, b, c are in AP and x, y, z are in GP then prove that the value of x^b-c· y^c-a· z^a-b is 1 If a, b, c are in AP and x, y, z are in GP then prove that the value of x^b-c· y^c-a· z^a-b is 1
If a,b and c are A.P. whereas x,y and z are in G.P. : Prove that : x^(b-c)*y^(c-a)*z^(a-b)=1. |... If a,b and c are A.P. whereas x,y and z are in G.P. : Prove that : x^(b-c)*y^(c-a)*z^(a-b)=1. |...
If a,b and c are in AP. and x,y and z are in GP. prove that x^b-c .y^c-a .z^a-b=1 If a,b and c are in AP. and x,y and z are in GP. prove that x^b-c .y^c-a .z^a-b=1
If a, b, c be in A.P. and x, y, z be in G.P., prove that, `x^(b-c).y^(c-a).z^(a-b) = 1`. If a, b, c be in A.P. and x, y, z be in G.P., prove that, `x^(b-c).y^(c-a).z^(a-b) = 1`.
If a, b and c are in the G.P such that a^(1/x) = b^(1/y) = c^(1/z), prove that: x+z=2y. If a, b and c are in the G.P such that a^(1/x) = b^(1/y) = c^(1/z), prove that: x+z=2y.
Let `log_c ab=x,log_a bc=y` and `log_b ca = z`. Find the value of `(xyz-x-y-z)`. Let `log_c ab=x,log_a bc=y` and `log_b ca = z`. Find the value of `(xyz-x-y-z)`.
If a, b, c are in A.P. as well as in G.P. then correct statement is : If a, b, c are in A.P. as well as in G.P. then correct statement is :