can anyone simplify i^75? I am not sure I am doing it wright on my own. Help will be appreciated. Thank you!

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- Oct 28th 2007, 12:32 PMmirdita59please help, imaginary numbers
can anyone simplify i^75? I am not sure I am doing it wright on my own. Help will be appreciated. Thank you!

- Oct 28th 2007, 12:46 PMPlato
$\displaystyle i^n = i^{\bmod (n,4)} \quad \Rightarrow \quad i^{75} = i^{\bmod (75,4)} = i^3

$ - Oct 28th 2007, 12:51 PMJhevon
- Oct 28th 2007, 01:15 PMPlato