Question

describe all the seventh roots of 16 in the complex plane.

Answer 1

magnitude 4, equi-spaced in theta in increments of 2pi/7

Answer 2

Not 4...

Answer 3

just it should be magnitude 16 right?

Answer 4

oops 16^(1/7)

Answer 5

\[16^{\frac{1}{7}}=\large{16^{\frac{1}{7}}e^ {\frac{2k\pi i}{7}}}\], where k=0,1,2,..6.

Answer 6

^ yup