complex numbers BASICS

the least positive value of "n" for which (1+w²)ⁿ = (1+w⁴)ⁿ, where w is a non real cube root of unity is .......... ?

1 Answers

(1+w)ⁿ=(1+w²)ⁿ

now put n=1 it fails
put n=2
i will get 1+w²+2wâ‰ 1+w+2w²
it also fails

put n=3
1+1+3w²+3w=1+1+3w²+3w
which is always true

so the answer is 3 [1]

it is also intutive as w is a cube root of unity[4]

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