Simplification (सरलीकरण)

The value of (1)/(1+(1)/(1+(1)/(1+(1)/(2)))) on simplification is:

The simplification of (1-(1)/(2)) ( 1- (1)/(3)) ( 1-(1)/(4))...(1-(1)/(100)) results in :

On simplification (a^p/a^q)^(p+q) xx(a^q/a^r)^(q+r)xx(a^r/a^p)^(r+p) yeilds

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

On simplification, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^3+y^3)xx ((x+y)^2-(x-y)^2)/(x^2-y^2) is equal to : सरलीकरण के बाद, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^3+y^3)xx ((x+y)^2-(x-y)^2)/(x^2-y^2) किसके बराबर होगा?

On simplification [((x)^(ab))/((x)^(a^(2)+b^(2)))]^(a+b)*[((x)^(b^(2)+c^(2)))/((x)^(bc))]^(b+c)*[((x)^(ca))/((x)^(c^(2)+a^(2)))]^(c+) reduces to

On simplification [((x)^(ab))/((x)^(a^(2)+b^(2)))]^(a+b)*[((x)^(b^(2)+c^(2)))/((x)^(bc))]^(b+c)*[((x)^(ca))/((x)^(c^(2)+a^(2)))]^(c+) reduces to