[(x^((a)/(a-b)))/((a)/(x^(a+b)))-:(x^((b)/(b-a)))/(x^((b)/(b+a)))]^(a+b)

On simplification [(x^((a)/(a-b)))/(x^((a)/(a+b)))-:(x^((b)/(b-a)))/(x^((b)/(b+a)))]^(a+b) reduces to

[{(x^(a(a-b)))/(x^(a(a+b)))}-:{(x^(b(b-a)))/(x^(b(b+a)))}]^(a+b)=1

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

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

((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

x^((a+b-c)/((a-c)(b-c))),x^((b+c-a)/((b-a)(c-a))),x^((c+a-b)/((c-b)(a-b)))=

(x)/(b)-(a)/(b)+(x)/(a)-(b)/(a)=2

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

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

Solve: (x+b)/(a-b)=(x-b)/(a+b)