For any positive real number x;write the value of `{(x^a)^b}^(1/(ab)) {(x^b)^c}^(1/(bc)) {(x^c)^a}^(1/(ca))`

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)

The value of (x^a/x^b)^(a^2+ab+b^2)(x^b/x^c)^(b^2+bc+c^2)(x^c/x^a)^(c^2+ca+a^2)

Assuming that x is a positive real number and a,b,c are rational numbers,show that: ((x^(a))/(x^(b)))^((1)/(ab))((x^(b))/(x^(c)))^((1)/(bc))((x^(c))/(x^(a)))^((1)/(ac))=1

The value of ((x^(a))/(x^(b)))^((1)/(ab)) xx ((x^(b))/(x^(c)))^((1)/(bc)) xx ((x^(c))/(x^(a)))^((1)/(ca)) is equal to

Assuming that x is a positive real number and a,b,c are rational numbers,show that: ((x^(a))/(x^(b)))^(a+b)((x^(b))/(x^(c)))^(b+c)((x^(c))/(x^(a)))^(c+a)=1

If a,b,c are positive real numbers such that a+b+c=1 , then find the minimum value of (1)/(ab)+(1)/(bc)+(1)/(ac) .

Assuming that x is a positive real number and a,b,c are rational numbers,show that: ((x^(b))/(x^(c)))^(a)((x^(c))/(x^(a)))^(b)((x^(a))/(x^(b)))^(c)=1