Powershell: batch rename and keep extension?

Is it possible to batch rename a series of files and keep the original extensions in a sequence?

For example, if you had the files in a directory: dogfile1.jpg, wolffile493.png, and dogfile59.jpg

and wanted to rename them: dog1.jpg, dog2.png, dog3.jpg

I saw you can use this to batch rename but it renames it to the extension you select (ex. jpg):

$nr=1

Dir | %{Rename-Item $_ -NewName (‘NewFile{0}.jpg’ -f $nr++)}

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