Find the value of `( 1 + w^2 )^3`

Find the value of w : -2/3 = 6/w

Evaluate : w^2 + w^3 + w^4

Evaluate : ( 1 + w ) ( 1 - w^2 + w ) + w^2

Evaluate : ( 1 - 3w + w^2 ) ( 1 + w - 3w^2 )

Given w = - 2, x = 3, y = 0 & z = - (1)/(2) . Find the value of (z)/(w) + x . A. 3 (1)/(4) B. - 3 (1)/(4) C. 3.2 D. 3.5

Find the value of |{:(" "1+i," "i omega," "i omega^(2)),(" "i omega," "i omega^(2)+1," "i omega^(3)),(i omega^(2), i omega^(3), " "i omega^(4)+1):}| , where omega is a non real cube root of unity and i = sqrt(-1) .

Given,w = -2, x = 3,y = 0, and z = -frac(1)(2).Find the value of 2(w^2 + x^2 + y^2)