To order the topics from broadest to narrowest, we can consider the scope of each topic:
1. **broader**: This is the broadest topic as it doesn't specify any particular details or limitations. It encompasses a wide range of subjects without any specific focus or constraints.
2. **areas known for their extreme weather conditions**: This topic narrows down the scope compared to the first one by focusing on areas that have extreme weather conditions. It provides some level of specificity by honing in on a particular aspect.
3. **areas known for their extreme temperatures**: This topic further narrows down the focus from extreme weather conditions to specifically extreme temperatures. It zooms in on a specific element within extreme weather conditions.
4. **extreme temperatures in the East Antarctic Plateau**: This is the narrowest topic as it specifies extreme temperatures in a particular location, the East Antarctic Plateau. It is the most specific and focused topic among the options provided.