# simple division?

• May 9th 2012, 06:51 PM
Bowlbase
simple division?
I have $\frac{(n+1)^n}{n^n}$

this somehow equals:

$(1+\frac{1}{n})^n$

Can someone show me the step in between? I just can't seem to make it work...
• May 9th 2012, 07:08 PM
amul28
Re: simple division?
$\frac {(n+1)^n} {n^n}$

$\implies \big (\frac {n+1} {n} \big )^n$ [which is the same]

$\implies (1+\frac {1} {n})^n$ [separating the denominator for n and 1]

Thanks
• May 9th 2012, 07:20 PM
Bowlbase
Re: simple division?
thanks, I knew I was just missing something simple as always.

I appreciate the help.