Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Determine the value of iⁱ
Options
A e^(π/2)
B e^(-π/2)
Correct Answer
C e^(π/4)
D e
Correct Answer

Option B is the correct answer.

Detailed Explanation

i = e^(iπ/2), so iⁱ = (e^(iπ/2))ⁱ = e^(i²π/2) = e^(-π/2).

Hint

Express i in exponential form: i = e^(iπ/2).

Question Info