TITLE: Simplify $O(n^k/2^n)$
QUESTION [6 upvotes]: In one of my complexity analysis, I came up with $O(n^k/2^n)$, where $k$ is a fixed number and $n$ is the size of the data. However I rarely see a big-O written as this. Is there a way to even further simplify this complexity in terms of $n$ and $k$ that I miss? Thanks a lot.

REPLY [4 votes]: Hint Do you know that $$\frac{n^k}{2^n}\to 0$$ for any $k$?