If there isn’t an option to do so in the themes settings (if it has an Admin page!) then you’d have to edit the template files directly – Of course then it’ll depend on which ‘pages’ you want them removed from e.g.: Posts, Pages, Archives, Categories, Tags etc. can all have their own template file with unique code in. Or possibly just the ‘loop.php’ file with themes in a Twenty Ten style!
The function to look for in the code is the_tags(), simply delete this piece of code. OR it may be safer to just comment it out with either:
// Double forward slash marks a single line comment
# As does the hash or pound sign as it's sometimes called
/* for multi-line comments
use a slash star....
....star slash combination*/
These must all occur within the <?php ?> tags