0

Guest

Courses New

if omega(w) is the cube root of unity then(1-w-w^2)^4 is?

if omega(w) is the cube root of unity then(1-w-w^2)^4 is?
 

Grade:12th pass

1 Answers

Yuvraj Singh
askIITians Faculty 69 Points
one year ago
Que: if omega(w) is the cube root of unity then(1-w-w^2)^4 is?

Ans:
Sincewis the imaginary cube root of unity
w3=1and
1+w+w2=0...(i)
Hence
(1+w−w2)7

=((1+w)−w2)7

=(−w2−w2)7...from i

=(−2w2)7

=−128w14

=−128w12.w2

=−128(w3)4.w2

=−128w2...sincew3=1.


Think You Can Provide A Better Answer ?

Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More