Register
The imaginary number i raised to the power of 38 simplifies to -1 1 i -i
33.5k views
1 vote
The imaginary number i raised to the power of 38 simplifies to -1 1 i -i

User Emyl
by
8.0k points

2 Answers

2 votes

Answer:

-1

Explanation:

User Maninak
by
8.4k points
3 votes
38 = 9·4+2

So i³⁸ = i⁴ˣ⁹ ⁺ ² = i⁴ˣ⁹ · i² = (i⁴)⁹ · i² = 1⁹ · i² = i² = -1

Final answer: -1

Hope this helps.
User Krul
by
8.4k points
← Prev Question Next Question →

Related questions

User JPLauber
asked Apr 1, 2019 105k views
The imaginary number i raised to the power of 38 simplifies to
JPLauber asked Apr 1, 2019
by JPLauber
7.3k points
1 answer
5 votes
105k views
User Wdetac
asked Nov 27, 2020 189k views
The imaginary number i raised to the Power of 38 simplifies to what ?
Wdetac asked Nov 27, 2020
by Wdetac
8.2k points
2 answers
5 votes
189k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
i have a field 60m long and 110 wide going to be paved i ordered 660000000cm cubed of cement  how thick must the cement be to cover field
Write words to match the expression. 24- ( 6+3)
Link Copied!