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The expression Y-2 is 1/Y2. The reciprocal of 1/Y2 is Y2.
In math a reciprocal is the number you multiply a given number by to get 1. The easiest way is to put the given number under 1 in a fraction as the denominator. Hence the reciprocal of 4 is 1/4 or 0.25, the recprocal of (x2+2xy+y2) is 1/(x2+2xy+y2) In this case the reciprocal is 1/(-110) or ... after a bit of hocus pocus with the sign ... -1/110
The quotient of a reciprocal would equal the numerator squared divided by the denominator squared. i.e. (x/y)/(y/x) = x2/y2
1/4 is the reciprocal of 4.
The reciprocal of any number is one divided by that number, so, the reciprocal of 4 is 1/4.