Math Help - Help with dividing an exponent

1. Help with dividing an exponent

I'll keep this short. My understanding is dividing an exponent works as follows:

x^2/x^-5=x^7

The exponent rules state that you subtract the exponent in the denominator from the exponent in the numerator if they have the same base. 2 - (-5) = 7

Now, my question. Maybe I'm wrong, or maybe the answer I am looking at is wrong. I need to know which.

5x^2/10x^-5

You are correct if you mean $\frac{1}{2}x^7$ in stead of $\frac{1}{2x^7}$.