SOLUTION: on page 280 of the algebra 2 book problem 5 reads i^40 i cant figure out how to solve it...

Question 361631: on page 280 of the algebra 2 book problem 5 reads i^40 i cant figure out how to solve it...
Found 3 solutions by shorty4aboo, jrfrunner, Alan3354:
Answer by shorty4aboo(8)   (Show Source): You can put this solution on YOUR website!
is a problem in its self the reason why i say this is because my teacher taught us a method to use for degree of i...here it is:
ex: Evaluate
533 divided by 4 = 133 R(1)
Now this tells you That the Remainder is 1, Use that with this chart:

As you can see ; Odd degree numbers =i and even degree numbers= -1.

NOW HERE IS YOUR PROBLEM WORKED OUT:

See No remainder so you would have degree 0, then plug it into chart and the answer is 0.

Hope this has helped you out.
Answer by jrfrunner(365)   (Show Source): You can put this solution on YOUR website!
cycles in factors of 4
--

and as you can see values recycle based on xmod(4) (ie the remainder of dividing by 4)
So since you want to know and since 40mod(4)=0 then

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
i^40
-----

----
It's cyclic
i, -1, -i, 1 etc.
---

RELATED QUESTIONS
I'm on the chapter review on page 526. I cant figure out how to solve the equation and i... (answered by funmath)
I am working on a problem in algebra. The question is: A student opens a literature book (answered by scott8148)
I have to solve a proof for geometry and cant figure out how. I sent the book... (answered by Mathtut)
I am trying to figure out how to solve a problem. Its a word problem. It is--- The... (answered by richard1234)
I came across a problem in my sisters college math book and being a math major i cant... (answered by scott8148)
2a-4=13(a-5) I cant figure out this problem. It has a fraction on the right hand side... (answered by HyperBrain)
I'm working on this section in my Algebra book called Elimination by Addition... (answered by stanbon)
Iv been trying to figure out how to solve this for like 3 days Im stuck.this Is my last... (answered by fcabanski)
im doing homework in pre-algebra and i am not sure if it is proportions the book doesnt... (answered by jim_thompson5910)