If is completely simplified to , where a, b, c, and d represent integer exponents, what is the value of c?

First of all, thanks for properly formatting the question!! That's something you don't see so often..

Anyway, the first thing to do is split the fraction in two fractions, using the rule

So, your expression becomes

Now, for each of the fractions we can simplify the numeric part and the exponents, using the rule

.

We have

So, the whole expression becomes

which means that the four coefficients are

So, in particular, c=2