imaginary numbers...
can someone tell me if im correct. im not sure if im understanding this yet.

so if the power of "i" is divisible by 4, the answer would be a positive 1 Ex: i^4 , i^80 = 1 , i^24= 1

if the power of "i" is divisible by 2 but not by 4, the answer would be a negative 1 Ex: i^22 , i^2 , i^14

if the power of "i" is an odd number then the answer would be a negative "i" Ex; i^3 , i^27 , i^67

& finally, where would positive "i" fit in?

Question

imaginary numbers... 
can someone tell me if im correct. im not sure if im understanding this yet. 
 
so if the power of "i" is divisible by 4, the answer  would be a positive 1 Ex: i^4 , i^80 = 1 , i^24= 1

if the power of "i" is divisible by 2 but not by 4, the answer would be a negative 1 Ex: i^22 , i^2 , i^14

if the power of "i" is an odd number then the answer would be a negative "i" Ex; i^3 , i^27 , i^67

& finally, where would positive "i" fit in?

anonymous · Answer

yep. what do you mean by "positive i"?

anonymous · Answer

yes you have it exactly 
look only at the remainder and match up with $i^1=i,i^2=-1,i^3=-i,i^4=1$

anonymous · Answer

however there is no such thing as "positive $i$ because complex numbers are neither positive or negative. it is just   "$i$"  or "minus $i$

anonymous · Answer

oh well yeah tht is what i ment, i

anonymous · Answer

so if the power of i is a negative number then the answer would be i ?

anonymous · Answer

a negative power is equivalent to saying 1 divided by the value raised to "opposite" power (i.e., 1/(x^3) for x^(-3)

anonymous · Answer

okay so can u give me examples that their answers would be "i" ? i think that would help me. please.

anonymous · Answer

"negative exponent" does not imply that there is an "i" in the expression

anonymous · Answer

yes i understand that.

anonymous · Answer

so how would you solve this |dw:1348623764329:dw|