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Simplifying Complex Numbers Worksheet PDF  Form

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okay so to do I to the 80th 81st power one thing we notice ladies and gentlemen is we want to go back through our definitions of I and what we figured out with the definition of I we understood that the definition of I was the square Ro T of1 we can also write that as I to the first Power yes yeah we're going to kind of go through that um I'm not going to show it again but yeah so we have i^ 2 when we kep that multiplying equals -1 I cubed equal I I to 4th equal pos1 and what we did what we showed last time is we when we kept them multiplying by I on both sides what we figured out was I to the 5th went back to being I or just equal to Nega 1 which we just represent as I so we got that to represent just I again and then we kept on following does this pattern really repeat and yes it does so what we found out is you can keep on following this pattern every fourth one it resets all right so every fourth pattern what happens is we have a reset all right now what we could lo

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