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Mathematics 18 Online
OpenStudy (anonymous):

i^18

OpenStudy (anonymous):

SIMPLIFY

OpenStudy (anonymous):

(i^2)^9 = (-1)^9 = -1

OpenStudy (gorv):

we know i^2=-1 i^18=i^2*i^2*i^2.....9 times...=(i^2)^9=(-1)^9=-1

OpenStudy (anonymous):

thank you so much.... do you know by any chance (3−2i)/(7+i)

OpenStudy (gorv):

\[\frac{ 3-2i }{ 7+i } *\frac{ 7-i }{ 7-i }\]

OpenStudy (gorv):

\[\frac{ (3-2i)(7-i) }{ (7^2)-i^2 }\]

OpenStudy (gorv):

\[\frac{ (3-2i)(7-i) }{ 49+1 }=\frac{ (3-2i)(7-i) }{ 50 }\]

OpenStudy (anonymous):

once again thank you very much :) you really helped me out

OpenStudy (gorv):

wlcme :)

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