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

Here is Why You Need An Adapter

The outlet and plug type used in Chile are C and L 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

Chile

In Chile, outlets of type C and L are in use.

Type C

Type L