How to redirect any /promotion/* URLs to just /* with .htaccess?

I need to redirect any requests to mysite.com/promotion/* pages to just mysite.com/*, so a few examples would be:

• mys开发者_运维百科ite.com/promotion/some/page.html would redirect to mysite.com/some/page.html
• mysite.com/promotion/another-page.html would redirect to mysite.com/another-page.html

How can this be done with .htaccess?

RewriteRule ^/promotion/(.*)$ /$1 [R=301]

Did it like this:

Redirect permanent /promotion/ http://www.mysite.com/

I didn't realize that it would automatically work recursively like that, but it seems to work fine.