Answer
a) $8$
b) $8$
Work Step by Step
a) $(-1+\sqrt3i)(-1+\sqrt3i)(-1+\sqrt3i)=((-1+\sqrt3i)(-1+\sqrt3i))(-1+\sqrt3i)=(1-\sqrt3i-\sqrt3i-3)(-1+\sqrt3i)=(-2-2\sqrt3i)(-1+\sqrt3i)=2-2\sqrt3i+2\sqrt3i+6=8$
b) $(-1-\sqrt3i)(-1-\sqrt3i)(-1-\sqrt3i)=((-1-\sqrt3i)(-1-\sqrt3i))(-1-\sqrt3i)=(1+\sqrt3i+\sqrt3i-3)(-1-\sqrt3i)=(-2+2\sqrt3i)(-1-\sqrt3i)=2+2\sqrt3i-2\sqrt3i+6=8$
