You Do Need power plug adapter while traveling from Fiji to Laos.

Here is Why You Need An Adapter

The outlet and plug type used in Laos are A, B, C, E and F and in Fiji is I. This is how they look like.

Fiji

In Fiji, outlets of type I are in use.

Type I

Laos

In Laos, outlets of type A, B, C, E and F are in use.

Type A

Type B

Type C

Type E

Type F