Question

(-i)^13
a. -13i
b. -i
c. -1
d. 1
e. i
can someone explain how to solve? please and thank you

Answer 1

hope you know that i^2 = -1

yes ?

so you can rewriting

(-i)^13 = [(-i)^2]^6 *(-i) = [(-(-1))]^6 *(-i) = (1)^6 *(-i) = 1*(-i) = -i
so choice b. is right sure

hope helped

Answer 2

thank you @jhonyy9

Answer 3

was my pleasure

hope you understand the way how you can solve the same exercises - yes ?

Answer 4

yes most definitely @jhonyy9

Answer 5

ok. great