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

Here is Why You Need An Adapter

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

Belize

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

Type A

Type B

Type G

Uzbekistan

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

Type C

Type F