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[(" iv ")(1+i)^(4)(1+(1)/(i))^(4)=16],[n...

[(" iv ")(1+i)^(4)(1+(1)/(i))^(4)=16],[n+46=0]

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

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The value of ((1+i)/(1-i))^(4 n)=

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

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