" (ii) "(a+b)^(-1)(a^(-1)+b^(-1))=a^(x)b^(y)," find "x+y+2

If a and b are different positive primes such that ((a^(-1)b^(2))/(a^(2)b^(-4)))^(7)-:((a^(3)b^(-5))/(a^(-2)b^(3)))=a^(x)b^(y), find x and y(a+b)^(-1)(a^(-1)+b^(-1))=a^(x)b^(y) find x+y+2

If ((a^(-1)b^(2))/(a^(2)b^(-4)))div((a^(3)b^(-5))/(a^(-2)b^(3)))=a^(x).b^(y), find x + y.

If y=(x^(4)+x^(2)+1)/(x^(2)+x+1) then (dy)/(dx)=ax+b, find a and b

Simplify : : ( ( x+(1)/(y)) ^(a) ( x-(1)/(y))^(b))/((y+(1)/(x))^(a) (y-(1)/(x))^(b))

If x=(a-b)/(a+b), y=(b-c)/(b+c) and z=(c-a)/(c+a) , find the value of ((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))

The expression ((x+(1)/(y))^(a)*(x-(1)/(y))^(b))/((y+(1)/(x))^(a)*(y-(1)/(x))^(b)) reduces to a.((x)/(y))^(a-b) b.((y)/(x))^(a-b)backslash c((x)/(y))^(a+b)d.((y)/(x))^(a+b)