A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
What is the value of i 20+1?
1
–1
–i
i
anonymous
 one year ago
What is the value of i 20+1? 1 –1 –i i

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got 2 but thats not an option?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1maybe you meant \(\large\color{black}{ \displaystyle i^{20+1} }\) ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, it is alright. next when you want to write that, just say i^(20+1) where ^ indicates an exponent, and (...) tell you what your exponent is.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Can you tell me what does \(\large\color{black}{ \displaystyle i^4 }\) equal to?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1So, \(\large\color{black}{ \displaystyle i^{20+1}=i^{20} \times i^1=i^{4\times 5}\times i=\left(i^4\right)^5\times i = 1^5\times i=? }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1well, you probably know anyway that \(\large\color{black}{ \displaystyle i^{4n}=1 }\) \(\large\color{black}{ \displaystyle i^{4n+1}=i }\) \(\large\color{black}{ \displaystyle i^{4n+2}=1 }\) \(\large\color{black}{ \displaystyle i^{4n+3}=i }\) and again restarting the cycle, \(\large\color{black}{ \displaystyle i^{4n+4}=1 }\) and so on... (this is true for any whole number powers of i)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1(saying, for any whole number n)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1If you got any questions, please ask...
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.