You Do Need power plug adapter while traveling from Peru to Niue.

Here is Why You Need An Adapter

The outlet and plug type used in Niue is I and in Peru are A, B and C. This is how they look like.

Peru

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

Type A

Type B

Type C

Niue

In Niue, outlets of type I are in use.

Type I