You Do Need power plug adapter while traveling from Chile to Azores.

Here is Why You Need An Adapter

The outlet and plug type used in Azores are B, C and F and in Chile are C and L. This is how they look like.

Chile

In Chile, outlets of type C and L are in use.

Type C

Type L

Azores

In Azores, outlets of type B, C and F are in use.

Type B

Type C

Type F