All powers of 11 are related to the Pascal Triangle

\[ 1 \\ 1 \ \ 1 \\ 1 \ \ 2 \ \ 1 \\ 1 \ \ 3 \ \ 3 \ \ 1 \\ 1 \ \ 4 \ \ 6 \ \ 4 \ \ 1 \\ 1 \ 5 \ 10 \ 10 \ 5 \ 1 \\ \]

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.

\[\begin{eqnarray} 11^0 &=& 1 \\ 11^1 &=& 11 \\ 11^2 &=& 121 \\ 11^3 &=& 1331 \\ 11^4 &=& 14641 \end{eqnarray} \]

What is the value of \(11^5 \)?

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