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JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Integral power of iota, Algebraic operations and Equality of complex numbers

  • question_answer
    The value of \[{{(1+i)}^{5}}\times {{(1-i)}^{5}}\] is [Karnataka CET 1992]

    A) - 8

    B) \[8i\]

    C) 8

    D) 32

    Correct Answer: D

    Solution :

    \[{{(1+i)}^{5}}{{(1-i)}^{5}}={{(1-{{i}^{2}})}^{5}}={{2}^{5}}=32\].


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