Evaluate `(x^(a+b))^(a-b) (x^(b+c))^(b-c)(x^(c+a))^(c-a) `

Show that (x^(a+b))^(a-b)times(x^(b+c))^(b-c)times(x^(c+a))^(c-a)=1

Simplify (x^(a-b))^(a+b).(x^(b-c))^(b+c).(x^(c-a))^(c+a)

(x^a/x^b)^(a+b).(x^b/x^c)^(b+c).(x^c/x^a)^(c+a)

Simplify: (x^(a)/x^(b))^(a+b). (x^(b)/x^(c ))^(b+c) .(x^( c)/x^(a))^(c+a)

((x^(a))/(x^(b)))^(a+b)*((x^(b))/(x^(c)))^(b+c)*((x^(c))/(x^(a)))^(c+a)=? a.0 b.x^(abc) c.x^(a+b+c)d.1=? a.0

For any positive real number x, find the value of ((x^(a))/(x^(b)))^(a+b)x((x^(b))/(x^(c)))^(b+c)x((x^(c))/(x^(a)))^(c+a)

Differentiate ((x^(a))/(x^(b)))^(a+b)*((x^(b))/(x^(c)))^(b+c)*((x^(c))/(x^(a)))^(c+a) with respect to x.

Prove that :((x^(a))/(x^(b)))^(a+b-c)((x^(b))/(x^(c)))^(b+c-a)((x^(c))/(x^(a)))^(c+a-b)=1