Prove that : `((x^m)/(x^n))^(m+n-l) xx((x^n)/(x^l))^(n+l-m)xx((x^l)/(x^m))^(l+m-n) =1`.

Prove that : ((x^m)/(x^n))^(m+n) xx((x^n)/(x^l))^(n+l)xx((x^l)/(x^m))^(l+m) =1 .

((x^(m))/(x^(n)))^(m+n)*((x^(n))/(x^(l)))^(n+l)*((x^(l))/(x^(m)))^(l+m)

Show that : ((a^(m))/(a^(-n)))^(m-n)xx((a^(n))/(a^(-1)))^(n-1)xx((a^(l))/(a^(-m)))^(l-m)=1

Simplify : ((a^(m))/(a^(n)))^(m+n)((a^(n))/(a^(l)))^(n+l)((a^(l))/(a^(m)))^(l+m)

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f'(x)

(x^l /x^m)^n.(x^m/x^n)^l. (x^n/x^l)^m=

Simplify: (i)\ ((x^(a+b))/(x^c))^(a-b)\ ((x^(b+c))/(x^a))^(b-c)\ ((x^(c+a))/(x^b))^(c-a) (ii)\ ((x^l)/(x^m))^(1/(lm))\ xx\ ((x^m)/(x^n))^(1/(mn))\ xx\ \ ((x^n)/(x^l))^(1/(ln))

Simply (x^(m)/x^(n))^(m^(2)+mn+n^(2))xx(x^(n)/x^(l))^(n^(2)+nl+l^(2))xx(x^(l)/x^(m))^(l^(2)+lm+m^(2))

Prove root(ln)((x^(l))/(x^(n)))xxroot(nm)((x^(n))/(x^(m)))xxroot(ml)((x^(m))/(x^(l)))=1

Find the value of root(ln)((x^l)/(x^n))xxroot(mn)((x^n)/(x^m))xxroot(lm)((x^m)/(x^l)) .