" (ii) "(a+b)^(-1)(a^(-3)+b^(-1))=a^(x)b^(y)," find "x+y+2

(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 a^(x)=b^((1)/(2)),b^(y)=c^((1)/(3)),c^(z)=a^((1)/(2)) , find xyz

If (x_(1)-x_(2))^(2) + (y_(1)-y_(2))^(2)=a^(2) , (x_(2)-x_(3))^(2) + (y_(2) - y_(3))^(2)=b^(2) , (x_(3)-x_(1))^(2) + (y_(3) - y_(1))^(2) = c^(2) and k[|(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)|]^2=(a+b+c)(b+c-a)(c+a-b)(a+b-c) then the value of k a)1 b)2 c)4 d)none of these

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))

The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b .