Yes, there are some ways to express "어떤 식으로". Here are some other expressions of it. 1) 어떤 식으로 2) 어떤 방식으로 3) 어떤 방법으로 (식 = 방식 = 방법) I think the above three are often used in written and it's a matter of habit and preferrence. (FYI, I prefer to use "3)") 4) 어떻게 (commonly used in casual conversations) For example, How do you cook it? 어떤 식으로 요리하세요? = 어떤 방법으로 요리하세요? = 어떤 방식으로 요리하세요? = 어떻게 요리하세요? It's just my own two cents. ^_____^