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Prove that: (i) (1-i)^(2)=-2i (ii) (...

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`.

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