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\[Smplfy \times i^2\]
the answer i −1 −i 1
oh, you meant \[i^{38}\]
|dw:1386651474308:dw|
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\[\huge\color{red}{i^{4n}=1}\]\[\huge\color{red}{i^{(4n+1)}=i}\]\[\huge\color{red}{i^{(4n+2)}=i^2}\]\[\huge\color{red}{i^{(4n+3)}=-i}\] see? 38=4n+? 36+3=4n+? 36 and 4n cancel n=3 So it's -i
it not -1
-1=i^2 -1 times i= i^2 times i which is -i=i^3
thank u
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