Why i to the power of i is a Real Number скачать в хорошем качестве

Why i to the power of i is a Real Number

What happens when you take the square root of negative one and raise it to itself? In this video, we solve the "impossible" problem of i to the power of i. Using Euler's Identity, we transform the imaginary unit into its polar form and watch as the complex parts cancel each other out, leaving us with a surprising real-world result. Steps covered: Rewriting i using Euler’s Identity. Applying the power of i to the exponential base. Using the definition of i squared to eliminate the imaginary unit. Calculating the final real value (approximately 0.207). #ImaginaryNumbers #Euler #Calculus #MathHacks #STEM #MathPuzzles #Physics #ComplexNumbers #GeniusMath