The value of ( (1 + \omega - \omega^2)^7) is | Mathematics | SolveeIt

The value of $(1 + \omega - \omega^2)^7$ is

$128 \, \omega^2$

$- 128 \, \omega^2$

$128 \, \omega$

$- 128 \, \omega$

Answer

$- 128 \, \omega^2$

Explanation

$(1 + \omega - \omega^2)^7 = (- \omega^2 - \omega^2)^7 = (-2 \omega^2)^7$ $= -128 ( \omega^4)^3 \omega^2 = - 128 \, \omega^2$

Mathematics Question on complex numbers