Question

Check if my answer is correct?

True or false: i^44 + i^150 - i^74 - i^109 = -1

I think it's false, I got 1 - i.

Answer 1

you need to know that i^2 = -1 , i^4 = 1, i^3 = -1

Answer 2

sorry that last one i^3 = -i

Answer 3

so (i^4)^11 = I^44 = 1

Answer 4

i^150 = (i^4)^37 8 t^2 = -1

Answer 5

i^74 = (i^4)^18 * i^2 = -1
i^109 = (i^4)^27 * i = i

Answer 6

so we have 1 + (-1) - (-1) - i = 1 - i

Answer 7

aah so i was right and it's false? :D

Answer 8

yes i agree with you

Answer 9

thank you <3