If you have correctly written the problem as it appears here, the only thing you can do is to factor out a 2 from the bottom term:
((6x^6)(y^-4) / 2(6X6-y^7)). Now divide by 2 and that is all you can do.
(3X^6)(y^-4) / (6x6-y^7)
You may have meant the bottom term to mean (12x^6 -2y^7) but that does not change your limited factoring opportunity. You'll end up with 6X^6-y^7 as you denominator. If this is what you meant, you can write this as
(3X^6) / (y^4)(6x^6-y^7) or finally you can say
(3x^6) / ((6x^6)(y^4) - y^11). This way all of the y term ends up on the bottom of the expression.