One way of removing "powered by Blogger" from your blog is to hide it. To do so, simply add this rule to your template:
#Attribution1 {display: none;}
Mobile template blogs:
If you have enabled a custom mobile template, you can either use the standard way of removing your attribution from your mobile blog, or by adding a 2nd rule:
.mobile #Attribution1 {display: none;}
If this rule doesn't work and you have tried several other approaches on the same template, your gadget may now be called Attribution2 or even Attribution3. Look at your template (Design > Edit HTML) and search for "attribution" to find out what the correct digit is, and modify the rule to use it.