Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (lovelycharm):

Simplify

OpenStudy (solomonzelman):

\[Smplfy \times i^2\]

OpenStudy (lovelycharm):

the answer i −1 −i 1

OpenStudy (solomonzelman):

oh, you meant \[i^{38}\]

OpenStudy (lovelycharm):

|dw:1386651474308:dw|

OpenStudy (lovelycharm):

yes

OpenStudy (solomonzelman):

\[\huge\color{red}{i^{4n}=1}\]\[\huge\color{red}{i^{(4n+1)}=i}\]\[\huge\color{red}{i^{(4n+2)}=i^2}\]\[\huge\color{red}{i^{(4n+3)}=-i}\] see? 38=4n+? 36+3=4n+? 36 and 4n cancel n=3 So it's -i

OpenStudy (lovelycharm):

it not -1

OpenStudy (solomonzelman):

-1=i^2 -1 times i= i^2 times i which is -i=i^3

OpenStudy (lovelycharm):

thank u

OpenStudy (solomonzelman):

Anytime!

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!