ISRO Electrical Engineering (EE) 2015 - Question 67

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If x = √-1 then the value of x^x is

  • A. e^(-π/2)
  • B. x
  • C. e^(π/2)
  • D. 1

Answer: A. e^(-π/2)

Explanation: Let x = i = e^(iπ/2). Then x^x = i^i = (e^(iπ/2))^i = e^(i² π/2) = e^(−π/2).

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