If `(x^(23))/(x^(m)) = x^(15) and (x^(4))^(n)=x^(20)`, then mn=

The HCF of (x^(3)y)/(m^(2)n^(4)), (x^(2)y^(3))/(m^(2)n^(2)) and (x^(4)y^(2))/(mn^(3)) is

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

If I_(m,n)=int x^(m)(logx)^(n)dx then I_(m.n)=

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)

The HCF of 20x^(5)-38x^(4)+43x^(3)-15x^(2) and 15x^(5)-19x^(4)+4x^(3) is

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

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

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

What is the angle between the straight lines (m^(2)-mm)y=(mm+n^(2))x+n^(3) and(mn+m^(2))y=(mn-n^(2))x+m^(3) where mgtn ?