book Maths Puzzle Numerical Ability

Can you help?

4^-1x^2y^-3/6^-1x^-1y^2 simplify

I got 3x^3/2y^5 or 1x^3/2y^5

How far off am I?

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book Other Question

Suppose M is an invertible matrix and B=MA is an equation of matrices. Prove N(B)=N(A) and R(B^T)=R(A^T). -4(z+7)=23

-90=3(-2z-8)

-(7-h)=13

120=9n+6n

15q-18q-12=9