My Math Forum refreshing complex numbers

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 June 1st, 2016, 08:51 PM #1 Newbie   Joined: Dec 2015 From: North America Posts: 20 Thanks: 2 Math Focus: my graphics calculator refreshing complex numbers Hello all! Thanks to all of you that have been so helpful... 'i' (the italicized version) is equal to root(-1) if that is the case, i^9 power should still equal root(-1)...? am I right?
 June 1st, 2016, 08:57 PM #2 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,822 Thanks: 643 Math Focus: Yet to find out. Yes. $\displaystyle i^9 = i$ Thanks from fishgoglugglugglug
 June 1st, 2016, 08:59 PM #3 Math Team   Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 That's correct, yes. The powers of $i$ cycle with a period of 4. $i^{4k} = 1$, $i^{4k + 1} = i$, $i^{4k + 2} = -1$ and $i^{4k + 3} = -i$. Thanks from fishgoglugglugglug and Joppy

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