78,526 views
15 votes
15 votes
Evaluate

i7

Chapter Name ; REAL AND COMPLEX NUMBERS

User Typos
by
2.9k points

1 Answer

26 votes
26 votes
i^7 = -i

keep those in mind when solving this kind of questions
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1

to find the answer you need to divide 7 by 4 and find the remainder.
the remainder is 3. so you use the one that’s to the 3rd power (i^3) which is equal to -i. if you want me to explain to you how to find the remainder using a scientific calculator let me know :)
User Coreus
by
3.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.