If `omega` is an imaginary cube root of unity then which of the following is the value of `omega^(242)`

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If omega is an imaginary cube root of unity then the equation whose roots are 2 omega+3 omega^(2) and 2 omega^(2)+3 omega is

If omega is an imaginary cube root of unity then the equation whose roots are 2omega + 3omega^(2) and 2omega^(2) + 3omega is

If omega is an imaginary cube root of unity then the equation whose roots are 2omega + 3omega^(2) and 2omega^(2) + 3omega is

If omega is an imaginary cube root of unity, then (1+omega-(omega)^2)^7 equals

If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(7)=

If (1+(omega)^2)^m = (1+(omega)^4)^m and omega is an imaginary cube root of unity, then least positive integral value of m is

If omega is an imaginary cube root of unity, then the value of (1+ omega- omega^(2))(1- omega + omega ^(2)) is-

If omega is an imaginary cube root of unity then the value of omega^n+omega^(2n) (where n is not a multiple of 3) is

If omega is an imaginary cube root of unity.Then the equation whose roots are 2 omega+3 omega^(2),2 omega^(2)+3 omega, is