If I had the math problem:

2^4 x 3^9
---- ----
3^5 2^7

And I used the method of sorting the bases and subtracting the exponents. Would my answer be 2^-3 x 3^4?

Is that division, like this, (2^4 * 3^9) / (3^5 * 2^7) ?

If it is, then, yep, the answer is 2^-3 * 3^4.