` (i^(65)+i^(54)+i^(30))`=

Prove that: (i) 1+i^(2)+i^(4)+i^(6)=0 (ii) 1+i^(10)+i^(100)+i^(1000)=2 (iii) i^(104)+i^(109)+i^(114)+i^(119)=0 (iv) 6i^(54)+5i^(37)-2i^(11)+6i^(68)=7i (v) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))=-1

i^(53) + i^(72) + i^(93) + i^(102) = 2i .

(i^(365)+i^(246)+i^(95)+i^(35))/(i^(355)+i^(236)+i^(85)+i^(25))-1

Write the value o (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))

the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))+2

Find the value of (i) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))-1 (ii)(1+i)^6+(1-i)^6

Find the value of (i^(6)+i^(7)+i^(8)+i^(9))/(i^(2)+i^(3))

Evaluate: (i^(2)+i^(4)+i^(6)+i^(7))/(1+i^(2)+i^(3))

Write the value of i+i^(10)+i^(20)+i^(30)