solve
i22
22 is an exponent

Question

solve
i22 
22 is an exponent

lgbasallote · Answer

remember what i said earlier? if the exponent is even (except 2) then it's automatically 1

anonymous · Answer

i kno but thts not one of my answer choices

asnaseer · Answer

@janessia this question also involves complex numbers - you really need to learn about them first before attempting questions on them

anonymous · Answer

my choices are 
5, i3 (3 is a exponent), and 21+i

lgbasallote · Answer

$$\huge i^2 = -1$$
$$\huge i^{odd} = -i$$
$$\huge i^{even} = 1$$

lgbasallote · Answer

there must be something missing here

lgbasallote · Answer

oh

lgbasallote · Answer

maybe i got the methods mixed up

lgbasallote · Answer

i hate these formulae

anonymous · Answer

@asnaseer uhm this is how i learn if u dnt wanna help me then fine but @lgbasallote is helping me so thanks

lgbasallote · Answer

ohh

lgbasallote · Answer

well i'll just do it step-by-step

$$i^{22} = (i^2)^{11} = (-1)^{11}$$

asnaseer · Answer

@janessia I never said I won't help you. your last question involved complex numbers and you indicated you knew nothing about them. so I advised you learn a bit about them first and gave you a link to a site where you can learn more about them. sorry if you feel I wasn't helping.

anonymous · Answer

take the integer remainder when you divide 22 by 4
the pattern is this 
$$i^0=1$$
$$i^1=i$$
$$i^2=-1$$
$$i^3=-i$$
$$i^4=1$$ and it repeats every 4

lgbasallote · Answer

yeah that formula was wrong sorry

anonymous · Answer

so for example $i^{201}=i^1=1$ because 4 goes in to 200 evenly leaving a remainder of 1

anonymous · Answer

@asnaseer i do better learning on here i cant do it on my own its too confusing for me plus i have like 5 min to kno how to do this its a timed quiz

anonymous · Answer

sorry $i^{201}=i^1=i$ is what i meant

asnaseer · Answer

that isn't really learning...

lgbasallote · Answer

ahh so it's $$\LARGE i^{22(mod 4)}?$$
lol

lgbasallote · Answer

@satellite73

anonymous · Answer

it is for me how u gone tell em wats learning for me??? if thts how i learn @asnaseer then thats juss how i learn! so bye! get off my question so i can understand what they are talking about!!!!

anonymous · Answer

yes, if you want to be fancy

asnaseer · Answer

bye...

lgbasallote · Answer

just refer to satellite's explanation there

anonymous · Answer

can one of yall explain to me wat ur doing since that person had me disracted?

anonymous · Answer

distracted i meant

lgbasallote · Answer

first identify your exponent

lgbasallote · Answer

what is the exponent of i^22

anonymous · Answer

22

anonymous · Answer

four goes in to twenty two 5 times with a remainder of 2
therefore $i^{22}=i^2=-1$

anonymous · Answer

ohk i understand thnx