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anonymous
 5 years ago
Evaluate i^26
anonymous
 5 years ago
Evaluate i^26

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The book is saying 1?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry i'm not good with imaginary numbers. i just plugged it in the calculator and that's what i got.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah I'm not either. That's why I am here. Thanks anyway!

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.226/4=6+remaider 2 i^2=1

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2divide by 4 i^[4*6+2]=1^6i^2=1*(1)=1

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.2The best way to do this is to think about `sections' of i. We know the following four things: \[\begin{align} i^2 &= \sqrt{1}^2 = 1\\ i^3 &= i^2 \cdot i = 1 \cdot i = i\\ i^4 &= i^2 \cdot i^2 = 1 \cdot 1 = 1 \end{align}\] From that, we can derive any power of i. That's what myininaya has done.

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.2I said 4 > I meant the following 3 things :) The fourth is that i is just i.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I was coming up with( i^4)^5 *i^6

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.2Well, that's close. Note that \(i^6\) is actually \(i^{4 + 2}\), so it's really \((i^4)^6 \cdot i^2\).

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.2And since i^4 is always 1, 1^6 is always 1, you are left only with \(i^2\), which is 1.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.026/4 = 8. R2 i^2 = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Got it! Thanks for your help!

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.2haha amistre your quotient is wrong

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol.... I had a quotient ?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0LOL... yeah it is. but its so hard to remember all this stuff from kindergarten ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ouch you guys are killing me. This is actually Int Algebra  College.
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