Simplifying and taking the limit I would like to compute the following limit $$\lim_{n\to\infty}\frac{10^{n^{2}}}{10^{(n+1)^{2}}}$$
but I'm having a hard time simplifying. Can anyone explain to me the properties of these exponents?
Thanks

Notice the following: 
$\frac{10^{n^{2}}}{10^{(n+1)^{2}}}$=$\frac{10^{n^{2}}}{10^{n^2+2n+1}}$
$\frac{10^{n^{2}}}{10^{n^2+2n+1}}=\frac{10^{n^{2}}}{10^{n^2}10^{2n}10^{1}}$
$\frac{10^{n^{2}}}{10^{n^2}10^{2n}10^{1}}$=$\frac{1}{10^{2n+1}}$
So, I hope now, it should be obvious what happens as $n$ gets infinitely large.
