abdulhaleemseidu2021

abdulhaleemseidu2021

Answered question

2022-05-11

Answer & Explanation

Andre BalkonE

Andre BalkonE

Skilled2023-05-06Added 110 answers

To represent the complex numbers on the same Argand diagram, we first need to know that the complex number a+bi can be represented as a point (a,b) in the complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part.
Now, let's find the values of the given complex numbers:
i. i2=1
The complex number 1 can be represented as the point (1,0) in the complex plane.
ii. i3=i
The complex number i can be represented as the point (0,1) in the complex plane.
iii. i14=(i4)3·i2=13·(1)=1
The complex number 1 can be represented as the point (1,0) in the complex plane.
iv. i25=(i4)6·i=16·i=i
The complex number i can be represented as the point (0,1) in the complex plane.
v. i28=(i4)7=17=1
The complex number 1 can be represented as the point (1,0) in the complex plane.
vi. i31=(i4)7·i3=17·(i)=i
The complex number i can be represented as the point (0,1) in the complex plane.
vii. i1985=(i4)496·i=1496·i=i
The complex number i can be represented as the point (0,1) in the complex plane.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?