You Do Need power plug adapter while traveling from Costa Rica to Abu Dhabi.

Here is Why You Need An Adapter

The outlet and plug type used in Abu Dhabi is G and in Costa Rica are A and B. This is how they look like.

Costa Rica

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

Type A

Type B

Abu Dhabi

In Abu Dhabi, outlets of type G are in use.

Type G