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

Here is Why You Need An Adapter

The outlet and plug type used in Ecuador are A and B 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

Ecuador

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

Type A

Type B