All powers of 11 are related to the Pascal Triangle

11  11  2  11  3  3  11  4  6  4  11 5 10 10 5 1 1 \\ 1 \ \ 1 \\ 1 \ \ 2 \ \ 1 \\ 1 \ \ 3 \ \ 3 \ \ 1 \\ 1 \ \ 4 \ \ 6 \ \ 4 \ \ 1 \\ 1 \ 5 \ 10 \ 10 \ 5 \ 1 \\

Above shows the first 6 rows of a Pascal Triangle. By concatenating the numbers in their respective rows, we can see that the first five equations are true.

110=1111=11112=121113=1331114=14641\begin{aligned} 11^0 &=& 1 \\ 11^1 &=& 11 \\ 11^2 &=& 121 \\ 11^3 &=& 1331 \\ 11^4 &=& 14641 \end{aligned}

What is the value of 11511^5 ?

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