216k views
4 votes
Evaluate i^15 i^12
Show work

User John Roca
by
5.6k points

1 Answer

4 votes

Answer: 15 = -i & 12=1

use the pattern : i, -1, -i, 1

Explanation:

i =
√(-1)


i^(2) =
√(-1)


i^(3) =
√(-1)


i^(4) =
√(-1)

the pattern just repeats from here

5 = i

6 = -1

7 = -i

8 = 1

9 = i

10 = -1

11 = -i

12 = 1

13 = i

14 = -1

15 = -i

16 = 1

User Tim Kozak
by
4.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.