Once again this is one of these things were it just absolutely confuses me

Example

$\displaystyle n^{\frac{3}{2}}\sqrt{n-1}$

I want to factor out a n^2, is this a correct way? I dont believe it is but however, I need to know simple things like this

$\displaystyle n^1n^{\frac{1}{2}}\sqrt{n-1}$

$\displaystyle n(n(n-1))^{\frac{1}{2}}$

$\displaystyle n^2(1-\frac{1}{n})^{\frac{1}{2}}$