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(a^(1/(x-y)))^(1/(x-z))xx(a^(1/(y-z)))^(...

`(a^(1/(x-y)))^(1/(x-z))xx(a^(1/(y-z)))^(1/(y-x))xx(a^(1/(z-x)))^(1/(z-y))=1`

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The value of ((a^(x))/(a^(y)))^(x+y) xx ((a^(y))/(a^(z)))^(y+z) xx ((a^(z))/(a^(x)))^(z+x) is

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If x,y,z are all different real numbers,then (1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^(2)

If x,y,z are all different real numbers,then (1)/((x-y)^(2))+(1)/((y-z)^(2))+(1)/((z-x)^(2))=((1)/(x-y)+(1)/(y-z)+(1)/(z-x))^(2)

Show that: ((a^(x+1))/(a^(y+1)))^(x+y)((a^(y+2))/(a^(z+2)))^(y+z)((a^(z+3))/(a^(x+3)))^(z+x)=1