Question

Qual o valor de z8 para z=2-2i?( Lembre-se que i2==-1)

Answer 1

$z = 2 - 2i\\\\z^{8} = (2-2i)^{8} \\ \\z^{8} = ((2-2i)^{2})^{4} \\ \\z^{8} = (4-8i+4i^{2} )^{4} \\\\z^{8} = (-8i)^{4}\\ \\z^{8} = 4096.i^{4} \\\\z^{8} = 4096$