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Mathematics 22 Online
OpenStudy (anonymous):

nothing

OpenStudy (jdoe0001):

do you know what \(\bf i^2\) is?

OpenStudy (anonymous):

-1 right?

OpenStudy (anonymous):

A lot of people want to answer this one.

OpenStudy (jdoe0001):

heheh

OpenStudy (jdoe0001):

well... . if you divide 38 by 2 you'd get 19... that means, there are 19 \(\bf i^2\) in there, so 19 minus 1, so what do you think is the value?

OpenStudy (anonymous):

take the integer remainder when you divide by 4 the pattern is \[i^0=1\\ i^1=i\\ i^2=-1\\ i^3--i\\ i^4=1\] so if the remainder is 3 for example you get \(-i\_

OpenStudy (anonymous):

yea I was right its -1

OpenStudy (anonymous):

yes, you were right, because the remainder is 2 when you divide 38 by 4

OpenStudy (anonymous):

yesir

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