Mathmatical Fun?

My paid job is teaching Mathematics.
As I am drafting a quiz, to test factoring, exponents and radicals, I saw a question that I started to expand and play with and came up with what I think is a cool (in a nerdy sense) question. I am not using it on the quiz because I know the students already think my quizzes are too hard....

I will still give them the question to solve. And here it is:

Some rules to know to solve the equation:
1)  Negative Exponents:    


2) Adding Fractions:    


3) Perfect Square Binomials:     

4) Exponent and Root Relationship:    


5) Fractional Radicals:    

6) Rationalizing the Denominator:    


Applying all these to the original equation we get:

Cool? or what?!