On the plural form, I would like to ask how the exponential form of complex number is derived from Euler formula. Why is the I θ power of e equal to cos θ + isin θ?

On the plural form, I would like to ask how the exponential form of complex number is derived from Euler formula. Why is the I θ power of e equal to cos θ + isin θ?

In the rectangular coordinate system, e ^ (I θ) represents the unit length, and the angle between e ^ (I θ) and X axis is θ
The complex number is cos θ + isin θ
So the I θ power of E is cos θ + isin θ