Find the value of: ` omega^-364`

Find the value of: omega^-30

Find the value of: omega^-105

Find the value of: omega^-105

Find the value of: omega^768

Find the value of ( i ) (omega)^12 ( ii ) ( omega )^81

If omega is the cube root of unity then find the value of |[1,omega^(6),omega^(8)],[omega^(6),omega^(3),omega^(7)],[omega^(8),omega^(7),1]|

If omega!=1 is a cube root of unity,then find the value of ,1+2 omega^(100)+omega^(200),omega^(2),11,1+omega^(100)+2 omega^(200),omegaomega,omega^(2),2+omega^(100)+omega^(200)]|

If omega is an imaginary cube root of unity then prove that If omega is the cube root of unity, Find the value of (1+5omega^2+omega^4)(1+5omega^4+omega^2)(5omega^3+omega+omega^2)

If 1,x_(1),x_(2),x_(3) are the roots of x^(4)-1=0andomega is a complex cube root of unity, find the value of ((omega^(2)-x_(1))(omega^(2)-x_(2))(omega^(2)-x_(3)))/((omega-x_(1))(omega-x_(2))(omega-x_(3)))

A vertical U -tube is spinned about the vertical axis passing through the left hand limb, with an angular speed omega such that the liquid columns in the limbs have heights h and 3h , as shown in the figure. Find the value of to omega .