# canonical form of `(-1)^(1/4)` and/or `exp(pi*I/4)`

If I ask explicitly, Sage confirms that `(-1)^(1/4)`

and `exp(pi*I/4)`

are equal. However, I'd like to reduce/simplify each of them into the same canonical form (whatever it is) so that I will see their equality with "naked eye". Is there a way to do so? I've tried `full_simplify()`

but it does not help.

```
sage: bool( (-1)^(1/4) == exp(pi*I/4) )
True
sage: ((-1)^(1/4)).full_simplify()
(-1)^(1/4)
sage: exp(pi*I/4).full_simplify()
(1/2*I + 1/2)*sqrt(2)
```