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

Here is Why You Need An Adapter

The outlet and plug type used in Falkland Islands is G 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

Falkland Islands

In Falkland Islands, outlets of type G are in use.

Type G