Question

How can I simplify `(2n)/(4n^(1/2))`?

Answer 1

`sqrtn/2`

Explanation:

First, simplify the constants.

`n/(2n^(1/2))`

Now, use the rule that `a^b/a^c=a^(b-c)`.

Therefore, `n/(2n^(1/2))=n^1/(2n^(1/2))=n^(1-1/2)/2=n^(1/2)/2`.

Note that `n^(1/2)=sqrtn`, so the expression can also be written as `sqrtn/2`.