# sum_03 (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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