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

Here is Why You Need An Adapter

The outlet and plug type used in Falkland Islands is G and in Martinique are C, D and E. This is how they look like.

Martinique

In Martinique, outlets of type C, D and E are in use.

Type C

Type D

Type E

Falkland Islands

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

Type G