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

Here is Why You Need An Adapter

The outlet and plug type used in Mexico are A and B 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

Mexico

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

Type A

Type B