express i-39 (iota raised to the power minus 39) in the form of a+ib

 = 0 + i  (  as, i2 =  - 1 )

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i-39

= 1/ i 39

= 1/ (i2)19 i

= -1/ i {i2 = -1}

now rationalise it,

-1/i x i / i =-i / -1 = i

or 0 +1.i

HOPE THIS WOULD HELP

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