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AP EAMCET202315 May 2023Morning ShiftMathematicsComplex NumberActual

[ 2 ( 56^ 15^ +i 56^ 15^ ) ]^8=

Options

  1. A1
  2. Bi
  3. C16
  4. D16 i

Correct answer

D. 16 i

Step-by-step solution

aligned & [ 2 ( 56^ 15^ +i 56^ 15^ ) ]^8=( 2 )^8 (i^ 6^ 15^1 )^8 & =2^4 e^ i (450^ ) =2^4 e^ i(360+90) e^ i = +i & =2^4 ( 2 +i 2 )=16 i aligned

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