Find the value of y. Did I do this problem correct?

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What happened to all the units in line 2?
 
After dividing x by a, you should have gotten rid of the units of mass so your final answer shouldn't have any.

I converted everything to SI units and went on from there, it makes everything easier in my opinion. I'm not sure if I did it right and I probably shouldn't post my answer but I think you should have units of length^(9/2)*time^(9/2) at the end.
 
I get
length2 * time-2

Did you raise each side to the power 3/2 instead of 2/3?
 
Yes, you're right, my mistake. Now I'm getting m2/s2 with SI units.