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Question

Express the given complex number in the form a+ib:i39

Solution
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i39=i4×(9)3=(i4)9.i3
=(1)9.i3,[i4=1]
=1i3=1i,[i3=i]
=1i×ii
=ii2=i1=i,[i2=1]
=a+ib, where a=0,b=1

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