math help question

Question

Write the expression in the standard form a + bi ---> (√2 - i)⁶

Answer 1

||z|| = √3

θ = arctan -√2 / 2

θ = - 35.26º

z⁶ = (√3)⁶ (cos -35.26° + i sin -35.25°)⁶

z⁶ = 27 (cos -211.56º + i sin -211.56º)

z⁶ = 27 (cos 148.44º + i sin 148.44º)

Can you complete and answer?