Rewrite htacess rule doesn’t work

Inside the page directory I have multiple pages such as admin-add-account, registration, and I’m trying to rename them from www.example.com/page/admin-add-account.php to www.example.com/admin-add-account. I’ve tried this but it’s not working, what am I doing wrong? Thanks!

RewriteEngine On
RewriteBase /page/

RewriteRule ^register/?$ registration.php [L,NC]
RewriteRule ^forget-password/?$ forget-password.php [L,NC]
# ignore files/directories from further rules
RewriteCond %{REQUEST_FILENAME} -d [OR]
RewriteCond %{REQUEST_FILENAME} -f
RewriteRule ^ - [L]