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COMEDK2013MathematicsComplex Number

If = -1+ 3 i 2 then (3+ +3 ² )⁴ is

Options

  1. A16
  2. B-16
  3. C16
  4. D16 ²

Correct answer

C. 16

Step-by-step solution

We have, (3+ +3 ² )⁴= (3+3 +3 ²-2 )⁴= [3 (1+ + ² )-2 ]⁴=(3 0-2 )⁴ [ 1+ + ²=0 . or . ³=1 ]=(-2 )⁴=16 ⁴=16 [ ⁴= ³ = ]

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