2016 is coming!

Algebra Level 4

\[x_{1}^{2016} + x_{2} ^{2016} +\cdots+ x_{2016}^{2016}\]

If \(x_{1}, x_{2},\ldots, x_{2016}\) are the roots of the equation \(x^{2016} - 2016x - 2 = 0,\) then find the value of the expression above.