Simply each of the following powers I. i^15=

Question

Reina

Mathematics

19 December, 08:29

Simply each of the following powers I. i^15=

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Answers (2)

Know the Answer?

Aurora · Answer 1

-i

Step-by-step explanation:

i means Imaginary unit.

i to the zero power is 1

i to the first power is itself

i to the second power is - 1

i to the third power is - i

Then, i to the fourth power is 1, so it all repeats again.

Camryn Holland · Answer 2

-i

Step-by-step explanation:

i = √-1, i² = - 1, i^4 = 1

i^15 = i^4 • i^4 • i^4 • i² • i

= 1 • 1 • 1 • - 1 • i

= - i