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Which of the following is equivalent to the complex number i^(14) ? Choose 1 answer: (A) 1 (B) i (C) -1 (D) -i

Which of the following is equivalent to the complex number i14 i^{14} ?\newlineChoose 11 answer:\newline(A) 11\newline(B) i i \newline(C) −1-1\newline(D) −i -i

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Full solution

Q. Which of the following is equivalent to the complex number i14 i^{14} ?\newlineChoose 11 answer:\newline(A) 11\newline(B) i i \newline(C) −1-1\newline(D) −i -i
  1. Introduction: To solve for i14i^{14}, we need to remember that ii is the imaginary unit, which is defined by i2=−1i^2 = -1. We can use this property to simplify i14i^{14}.\newline$i^{\(14\)} = (i^\(2\))^{\(7\)} = (\(-1\))^{\(7\)} = \(-1\)

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