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

Here is Why You Need An Adapter

The outlet and plug type used in Palau are A and B and in Uzbekistan are C and F. This is how they look like.

Uzbekistan

In Uzbekistan, outlets of type C and F are in use.

Type C

Type F

Palau

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

Type A

Type B