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Algebra Level 1

Find i 2016 i^{2016} where i = 1 . i=\sqrt{-1}.


The answer is 1.

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2 solutions

Yash Dev Lamba
Jan 21, 2016

Ashish Menon
Jun 1, 2016

2016 0 mod 4 2016 \equiv 0 \text{mod} 4 .
So, i 2016 = 1 i^{2016} = \color{#69047E}{\boxed{1}} .

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