You Do Need power plug adapter while traveling from South Africa to Bahamas.

Here is Why You Need An Adapter

The outlet and plug type used in Bahamas are A and B and in South Africa are C, M and N. This is how they look like.

South Africa

In South Africa, outlets of type C, M and N are in use.

Type C

Type M

Type N

Bahamas

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

Type A

Type B