amplitude of (1+i)^5
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(1+i)^5 can be written as
= (1+i )²(1+i )²(1+i)
= (1+i²+2i) (1+i²+2i) (1+i )
= (1-1+2i) (1-1+2i) (1+i)
=(2i) (2i) (1+i )
= 4i² (1+i )
= -4 (1+i )
= -4-4i
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