193k views
0 votes
If i is raised to an odd power, then it can not simplify to be

User Phonix
by
7.7k points

2 Answers

4 votes

Answer:

-1

Explanation:

If i is raised to an odd power, then it can not simplify to be

-1

-i

i

Odyssey

User Cantonic
by
8.2k points
4 votes
a real number

ok so
any even power is i^(2n) where n is a whole number
if n=1
i^2=(√-1)^2=-1

if i^3, then it is equal to (i^2)(i)=(-1)(i)=-i
if i^4, then it is equal to (i^2)(i^2)=(-1)(-1)=1

therefor
i^1=i
i^2=-1
i^3=-i
i^4=1
then it repeats

look at the odd powers
i and -i
they are complex

therefor

if i is raised to an odd power, it cannot be simplified to be a real number
User Jackson
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories