यदि w इकाई का एक घनमूल हो तो सारणिक `|(1,w^4,w^8),(w^4,w^8,1),(w^8,1,w^4)|`का मान है-

(1-w^2+w^4)(1+w^2-w^4)

4(3w+2)-5(6w-1)=2(w-8)-6(7w-4)+4

Show that : ( 1 + w - w^2 ) ( w + w^2 - 1 ) ( w^2 + 1 - w ) = -8

Prove that, (1-w+w^2)^4+(1+w-w^2)^4=-16

If w is an imaginary cube root of unity then prove that (1-w+w^2)(1-w^2+w^4)(1-w^4+w^8)....... " to " 2n "factors" =2^(2n) .

Let w be the 7^(th) root of unity then log_(3)|1+w+w^(2)+w^(3)+w^(4)+w^(5)-(8)/(w)|=

If w is an imaginary cube root of unity then prove that If w is a complex cube root of unity , find the value of (1+w)(1+w^2)(1+w^4)(1+w^8)..... to n factors.

If omega is cube root of unit,then value of | omega^(1)quad omega^(4)quad omega^(8) determinant det[[omega^(1),omega^(8),omega^(8)omega^(4),omega^(8),1omega^(8),1,omega^(4)]] is