Math Problem Statement

虚数をiとします。i^i^i^i=

Solution

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Math Problem Analysis

Mathematical Concepts

Complex Numbers
Exponential Functions
Polar Coordinates

Formulas

i = e^{i \frac{\pi}{2}}
i^i = e^{-\frac{\pi}{2}}

Theorems

Euler's Formula
Properties of Exponential Functions

Suitable Grade Level

Undergraduate Level (Mathematics or Physics)