evaluate using Euler's formula

Question

what would the value of 2$^i$ be if simplified using Euler's formula. It seems very trivial, but I am missing something.

Answer 1

Hint

For real $a>0,$

$$a=e^{\ln a}$$

Use Intuition behind euler's formula

Answer 2

Write $$2^i=e^{i \log(2)}=\cos (\log (2))+i \sin (\log (2))$$