Ask your own question, for FREE!
Mathematics 95 Online
OpenStudy (anonymous):

i^38 written in the standard form a+bi?

OpenStudy (anonymous):

\[i^{38} = -1\]

OpenStudy (anonymous):

i,-1,-i,1

OpenStudy (anonymous):

this cycle

OpenStudy (anonymous):

I need an expression written in the a+bi form of i^38

OpenStudy (anonymous):

\[-1 + 0 \times i\]

OpenStudy (anonymous):

thanks I'll try that

OpenStudy (anonymous):

sure : )

OpenStudy (anonymous):

ok -1 worked, using mathXL and don't like it

OpenStudy (anonymous):

\[i^2 = -1\]\[\large \implies i^4 = i^2\cdot i^2 = (-1)(-1) = 1\]\[\large \implies i^{38} = \left(i^4\right)^9\cdot i^2 = 1^9(-1) = 1(-1) = -1\]

OpenStudy (anonymous):

or think like this:4 goes in to 38 leaves a remainder of 2. so \[I^{38}=i^2=-1\] standard form is \[-1+0i\]

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!
Latest Questions
toga: can you burn water
3 minutes ago 14 Replies 1 Medal
notmeta: help
1 hour ago 4 Replies 0 Medals
toga: why are you not supposed to pop pimples
1 hour ago 11 Replies 1 Medal
zombieblud: Help
2 hours ago 4 Replies 2 Medals
KarmaXD: How do u tell your crush u like him/her???
1 hour ago 2 Replies 0 Medals
PureSoulless: (Genuine question.) Is being a femboy gay?
10 hours ago 0 Replies 0 Medals
Abby13915: A drawing I did March-
29 seconds ago 9 Replies 3 Medals
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!