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

Show that : (x^(a(b-c)))/(x^(b(a-c)))÷((x^b)/(x^a))^c=1 ((x^(a+b))^2(x^(b+c))^2 (x^(c+a))^2)/((x^a x^b x^c)^4)=1

Simplify : (x^(a+b).x^(a-b).x^(c-2a))/(x^(c-a)) .

Show that : (i) x^(a(b-c))/(x^(b(a-c)))/((x^b)/(x^a))^c=1 , (ii) ((x^(a+b))^2(x^(b+c))^2(x^(c+a))^2)/((x^a x^b x^c)^4)=1

Prove that: ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(b)x^(c))^(4))

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

If y = ((x^(a))/(x^(b)))^(a + b) ((x^(b))/(x^(c)))^(b + c) ((x^(c))/(x^(a)))^(c + a) , "then" (dy)/(dx) is equal to

The following steps are involved in finding the value of ((x^a)/(x^b))((x^b)/(x^c))((x^c)/(x^a)) . Arrange them in sequential order. (A) x^0=1 (B) x^(a-b+b-c+c-a) (C) ((x^a)/(x^b))((x^b)/(x^c))((x^c)/(x^a))=x^(a-b).x^(b-c).x^(c-a)

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