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(1+i)⁴ (1+1/i)⁴

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(1+i)⁴ (1+1/i)⁴
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2 Answers

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tanayarajpure6188, hello

Great Problem!

Believe it or not, this all simplifies to: 16

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(1+i)4(1+1/i)4  = (1+i)4(1+i/(i)2)4 = (1+i)4(1+i/(-1))4 = (1+i)4(1- i)4  = { (1+i)(1- i) }4 

= { (1 - i2) }4 = { (1 + 1) }4 =  { (2) }4  = 16

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