Question

If ω is cube root of unity, then
(1+ω −ω^2)^7 equals ??

Answer 1

\[(1 + w - w^2 ) ^7\] This is the equation.

Answer 2

\[1+\omega+\omega ^{2}=0\]
u know this? @Akshat4-10 ?

Answer 3

Ya...I know that. I substitute that in the equation...I am able to get an answer..but I need to verify if I am right.

Answer 4

if u wanna verify, the answer is \[-128 \omega ^{2}\]

Answer 5

My answer is coming out as 128w. Isn't \[(w^2) ^7\] equal to -w ??

Answer 6

\[(\omega ^{2})^{7}=\omega ^{14}=(\omega ^{3})^{4}\omega ^{2}=\omega ^{2}\]

Answer 7

Thanks a lot! :)

Answer 8

welcome, buddy :)