# Sum of roots$$^{200}$$

Algebra Level 4

Let $$f(x) = 1+x+x^2+ \cdots + x^{199}$$ and $$a_1, a_2, a_3, \cdots a_{199}$$ be the roots of $$f(x)$$. Find $$\displaystyle \sum_{k=1}^{199} a_k^{200}$$.

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