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What is the value of ii?

What is the value of ii? Correct Answer e<sup>- π/2</sup>

Let A = ii

Taking logarithm both the sides.

Log A = i log i = i log (0 + i)

As |i| = 1 and arg (i) = π/2,

Log A = i(log1 + iπ/2) = i(0 + i π/2)

Log A = -π/2

Hence, A = e- π/2

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