problems working with 'rewrite' in apache2 - apache

Question

I have the following list of URLs to rewrite:
1 write url
/products/client/
send to
/basedir/system/index.php?client=cliente
2 write url
/product/client/index.php
send to
/basedir/system/index.php?client=cliente
3 write url
/products/client/image/dir2/myimage.jpg
send to
/basedir/system/image/client/dir2/myimage.jpg
4 write url
/products/client/image/dir2/more_x_dir/other.img
send to
/basedir/system/image/client/dir2/more_x_dir/other.img
With these rules I have more or less solved the points 1 and 2:
RewriteEngine On
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^product/([a-zA-Z]+)$ /basedir/system/index.php?client=base=$1 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)/$ /basedir/system/index.php?client=base=$1 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)/(.*)$ /basedir/system/index.php?client=$1 [L,QSA]
My problem is in cases 3 and 4 when I have files with css / image's / js. and also when I have many directories, it may be that in the case of many directories have to make a rule for everyone, but I do not know how.
thank you very much
Edit
my solution based on the answer accepted:
RewriteEngine On
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^product/([a-zA-Z]+)/(.*)\.(gif|jpg|ico|css|js|txt|zip|xls|doc)$ /basedir/system/$2.$3 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)$ /basedir/system/index.php?database=$1 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)/$ /basedir/system/index.php?database=$1 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)/index.php$ /basedir/system/index.php?database=$1 [L,QSA]
RewriteRule ^product/([a-zA-Z]+)/(.*)$ /basedir/system/$2?database=$1 [L,QSA]

Answer 1

I believe that you want to do something like the following, based on your description (I'm still a little confused about the rules that you currently have). I also make the assumption that you had folders named image, css, and js for each client.
RewriteEngine On
# Rewrite images/css/js to their real files
RewriteRule ^products/([^/]+)/(image|css|js)/(.*)$ /basedir/system/$2/$1/$3 [L]
# Rewrite everything else to the index.php script
RewriteRule ^products/([^/]+)(/.+)?$ /basedir/system/index.php?client=$1 [QSA,L]