You Do Need power plug adapter while traveling from Australia to Djibouti.

Here is Why You Need An Adapter

The outlet and plug type used in Djibouti are C and E and in Australia is I. This is how they look like.

Australia

In Australia, outlets of type I are in use.

Type I

Djibouti

In Djibouti, outlets of type C and E are in use.

Type C

Type E