You Do Need power plug adapter while traveling from Zimbabwe to Cocos (Keeling) Islands.

Here is Why You Need An Adapter

The outlet and plug type used in Cocos (Keeling) Islands is I and in Zimbabwe are D and G. This is how they look like.

Zimbabwe

In Zimbabwe, outlets of type D and G are in use.

Type D

Type G

Cocos (Keeling) Islands

In Cocos (Keeling) Islands, outlets of type I are in use.

Type I