Shown below are the locations of z z2 z3 z10 in the complex

Shown below are the locations of {z, z^2, z^3, ..., z^10} in the complex plane, where z is an unspecified complex number:

Identify these locations by writing a letter (A, B, C, ... or J) in each answer box below.

The answers are filled in already. Please show me how to do this to get the answers.

(e) Shown below are the locations of z, z*, z3,., in the complex plane, where z is an unspecified complex number: Inn{ } FGHI J Ref (unit circle) Identify these locations by writing a letter (A, B, C, or J) in each answer box belovw. A JBI C H D G E F z 2324 25 2627 29 210

Solution

Z means single zero at origin.

Z² means double zero at origin.

Z³ means third order zero at origin.

Z^k  means k^th order zero at origin.

In the given diagram Z, Z², Z³, ........, Z¹⁰ are located according to the distance from origin.