Question

Will give medals! and fan! Quick help please!
which of the following expressions is a sixth root of unity?

A. -1
B. i
C. -i
D. all of the above

Answer 1

@cwrw238 @hartnn

Answer 2

what is \((-1)^6 =...\)
\((-i)^6 =...\)
\((i)^6 =...\)
can you answer those?

Answer 3

-1? yeah i feel i can

Answer 4

whichever option gives you the answer of 1, is the sixth root of unity :)

Answer 5

is that 1 and -1?

Answer 6

in real domain, yes.

Answer 7

so my only otion im given is -1, would it be accurate to choose that?

Answer 8

option* sorry

Answer 9

yes, -1 is indeed correct :)

Answer 10

thank you so much!

Answer 11

welcome ^_^

Answer 12

if i post another quick question, could you help me there?

Answer 13

sure :)

Answer 14

can you expal why -1 @hartnn

Answer 15

because (-1)^6 gives you 1 (unity)

Answer 16

but 1 is not in the option @hartnn

Answer 17

we needed 6th root of unity
let that be x

so
\(\sqrt[6] 1= x \\ 1 =x^6\)

we know (-1)^6 = 1
so x= -1

-1 is the answer

Answer 18

but (-1)^6=1
not -1
because the power is even so that negnative number convert in possitive..
so that why answer is -1
i donot understand @hartnn

Answer 19

unity means 1

we both agree that
(-1)^6=1

taking 6th root on both sides,
-1 = sixth root of unity

hence -1 is the answer.