How to run notepad from a non-elevated mode in Windows PowerShell

Question

I was wondering how to open a file with notepad or, if possible, notepad++ from a non-elevated mode in Windows PowerShell. By this I mean, how can I open a file using a command like notepad $profile without having to first have started the current session with administrative privileges? Also, instead of using notepad, will it be possible to use a different program like notepad++ instead?