JacalynBoultinghouse JacalynBoultinghouse
  • 31-12-2014
  • Mathematics
Answered

What is the value of i^97 - i

Answer :

Аноним Аноним
  • 31-12-2014
[tex]if\ i\ is\ the\ imaginary\ unit\ (i=\sqrt{-1}\Rightarrow i^2=-1):\\\\i^{97}-i=i(i^{96}-1)=i(i^{48\cdot2}-1)=i[(i^2)^{48}-1]=i[(-1)^{48}-1]\\\\=i(1-1)=i\cdot0=0\\\\therefore\ \boxed{i^{97}-i=0}[/tex]


Answer Link
optimisiticlana
optimisiticlana optimisiticlana
  • 02-08-2020

this can also be explained as b on edg

Answer Link

Other Questions

how to convert 37 4 to a mixed number
how did the incas keep records
A nationalist government run by one person or small group of people with strict controls over economic social and political life is Communist Socialist Fascist
What are the differences and similarities between xrays and radio rays
The school that Stefan goes to is selling tickets to a choral performance On the first day of ticket sales the school sold 3 senior tickets and 1 child ticket f
Contrast inference and prediction
three types of colonies England formed in North America in the late 1500s and 1600s
The circulatory system supplies the to cells water oxygen carbon dioxide nitrogen
evaluate 18 divided by y2
What is authors purpose