Absolute value and complex number (2)

Algebra Level 3

∑k=22016∣k2016i∣+∣∏k=22016k2016i∣=?\large \sum_{k=2}^{2016} \left| k^{2016i} \right|+ \left| \prod_{k=2}^{2016} k^{2016i} \right| = ?

Notations:

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Tommy Li by Tommy Li
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