Question

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

Answer 1

-i

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.

Answer 2

-i

Explanation:

i = √-1, i² = -1, i^4 = 1

i^15 = i^4 • i^4 • i^4 • i² • i

= 1 • 1 • 1 • -1 • i

= -i