Subject to means that something might be affected by something else... The American corporation is subject to UK tax laws when it sells to British consumers. (The company pays British tax when it sells in the UK. The meeting will take place tonight but is subject to change (It might not happen tonight if something changes.) Subjected to is about pain and punishment... My daughter is learning to play the violin. Every night I am subjected to 10 minutes of awful noise when she practices. They were subjected to a lengthy prison term without basic comforts and no access to their families.