If you want to hide the pathway on the front page, you simply have to wrap it in a piece of PHP code. Here is an example of the code all together:

<?php if ($option == "com_frontpage") { } else { ?>
<tr>
   <td><?php mosPathWay(); ?></td>
</tr>
<?php } ?>

This returns nothing if the variable option = com_frontpage, and gives the code between the php tags if option is anything else than "com_frontpage". This variable can be exchanged with other variables if that is needed, but this works with the default homepage setting in mambo.