सिद्ध कीजिए कि :
`(a) (1-i)^(4)(1-(1)/(i))^(4)=16`. `(b) (1-(1)/(i))^(4)+(1+(1)/(i))^(4)=-8`

((1+i)/(1-i))^(4)+((1-i)/(1+i))^(4)=

((1+i)/(1-i))^4+((1-i)/(1+i))^4=

(1+i)^(4)+(1-i)^(4)=

The value of (1+i)^(4)(1+(1)/(i))^(4) is

Prove that (1+i)^4(1+1/i)^4=16

((1+i)/(1-i))^(4)+((1-i)/(1+i))^(4)=(A)1(B)2(C)3(D)4

(1+i)^(4)+(1-i)^(4) = ........ .

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

Simplify: (1)/(i)- (1)/(i^(2)) + (1)/(i^(3)) - (1)/(i^(4))