русский = russian Examples: русский стиль = russian style; русский писатель = russian writer. по-русски = as russians usually do, russian way of doing Examples: говорить по-русски = to speak Russian; любить по-русски = to love as russians do it уха по-русски = fish-soup as russians cook it

Russian means русский. For example: She has been living in Russian village for three tears. По-русски will be in Russian. I hope I'll speak in Russian fluently.

sorry I don't have a cyrillic keyboard on the laptop I'm currently using, but russkij is used as an adjective, po-russkij is used for i speak and i read and write po-russkij (in russian) and for a third twist rossisskij is used when talking about the russian federal government and its entities and properties. once again, sorry for the lack of cyrillic, if you need more help on it or need me to rewrite them I can.

It means both.

Russian - русский, по-русски (также in Russian), русский язык