Originally Posted by

**MDS1005** Ok, I get it, thanks for the help everyone.

I'm finding that studying all this on my own with no teacher, and just the aid of a textbook, while frustrating, is a very good exercise in logic. I keep encountering examples that weren't fully explained in the text, and having to work out the reasoning behind the problems myself. The following is an example where there was no answer in the back of the book. I'd like to know if I was correct.

$\displaystyle \dfrac{5x^2}{10x^-^5}$

This is the first time I've encountered a positive exponent divided by a negative exponent. Now remembering (thanks to everyones help) to first reduce the 5 and the 10, I then move onto working out the exponents. It would stand to reason that I'm simply subtracting -5 from 2, obviously giving me 7. Remembering now (again, thanks to everyones help) that x^7 is the same as x^7/1, I came up with the following answer:

$\displaystyle \dfrac{x^7}{2}$

Correct?