Simplify : `((p+(1)/(q))^m(p-(1)/(q))^n)/((q+(1)/(p))^m(q-(1)/(p))^n)`.

Simplified form of (p+(1)/(q))^((p-q))(p-(1)/(q))^((p+q))(q+(1)/(p))^((p-q))(q-(1)/(p))^((p+q))

Simplify (i) ((x^(i))/(x^(m)))^((1)/(lm)).((x^(m))/(x^(n)))^((1)/(m)).((x^(n))/(x^(l)))^((1)/(nl)) (ii) ((x^(p))/(x^(q)))^((1)/(ml)).((x^(q))/(x^(r)))^((1)/(mn)).((x^(r))/(x^(p)))^(r+q)

Simplify: [(p^(-1)+q^(-1))(p^(-1)-q^(-1))-:((1)/(p^(-1))-(1)/(q^(-1)))((1)/(p^(-1))+(1)/(q^(-1)))](pq)^(2)

((p+1/q)^p.(p-1/q)^q)/((q+1/p)^p.(q-1/p)^q)=(p/q)^x then x=

Simplify [(p^(-1)+q^(-1))(p^(-1)-q^(-1))div ((1)/(p^(-1))-(1)/(q^(-1)))((1)/(p^(-1))+(1)/(q^(-1)))](pq)^(2)

Simplify: (2.5p-1.5q)^(2)-(1.5p-2.5q)^(2)(m^(2)-n^(2)m)^(2)+2m^(3)n^(2)

lim_(n rarr0){(p^((1)/(n))+q^((1)/(n)))/(2)}^(n),p,q>0

(p+iq)^((1)/(n))n+(p-iq)^((1)/(n))=2(p^(2)+q^(2))(1)/(2n)cos((1)/(n)(arctan q)/(p))