How do I simplify, $$\frac{ {x}^{-1/2}({2x}^{1/2}- {x}^{-1/2}) }{ x^{-1} }$$

The answer being: x-2

Question

How do I simplify, $$\frac{ {x}^{-1/2}({2x}^{1/2}- {x}^{-1/2}) }{ x^{-1} }$$ 
 
The answer being: x-2

mathmale · Answer

What a tough old bird!  Glad we won't be eating him for Easter.
Try this:  multiply that x^(-1/2) by x^(1/2) and likewise multiply everything inside the parentheses by x^(1/2).   

Now multiply the denominator by (x^(1/2))(x^(1/2)   (which really is the same thing as x^1, or just plain x.

You'll find that the expression becomes quite easy to reduce.

mathmale · Answer

In doing this I wanted to get rid of both the negative and fractional exponents.  think of this problem solving in that manner.