You can do something like the following using mod_rewrite at the top of your root .htaccess file:
RewriteEngine On
RewriteCond %{QUERY_STRING} (?:^|&)searchword=([^&]*)
RewriteRule ^component/search/?$ /advanced-search?search=%1 [NE,R=302,L]
The RewriteRule pattern matches against the URL-path only, which notably excludes the query string. To match against the query string we need a separate condition that checks against the QUERY_STRING server variable.
%1 is a backreference to the first capturing group in the preceding CondPattern, ie. the value of the searchworld URL parameter.
The regex (?:^|&)searchword=([^&]*) matches the searchworld URL parameter anywhere in the query string, not just at the start (as in your example). This also permits an empty value for the URL parameter.
The NE flag is required to prevent the captured URL parameter value being doubly encoded in the response. (Since the QUERY_STRING server variable is not %-decoded.)
The L flag prevents further processing during this pass of the rewrite engine.
Reference: