[dba-SQLServer] Drop index in another database

I am attempting to write a stored procedure that exists in a database of stored procedures.  This 
stored procedure needs to create an index on a table in a database and table which are passed in 
parameters, update a field in that database / table, then drop the index when done.

In studying the drop index syntax it clearly states "in the current database".

Does SQL (the language) not have syntax for dropping an index in a table in a different database 
from the one the SQL statement exists in?

Is it possible to use something like

Use @DBName to cause this to work?

Is there something else I should be doing (other than a different line of work ;)

-- 
John W. Colby
www.ColbyConsulting.com