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

Here is Why You Need An Adapter

The outlet and plug type used in Martinique are C, D and E and in Palau are A and B. This is how they look like.

Palau

In Palau, outlets of type A and B are in use.

Type A

Type B

Martinique

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

Type C

Type D

Type E