I don't understand this.
Why not "설거지해"????
Its the present progressive form
how does 설기 and 하다 turns into 설거지하고?
설거지 is the noun "dish washing" and adding 하다 (to do) naturally means doing dish washing. ~고 있다 added to a verb makes it present continuous.
So used to formal this is messing pronunciationssss
있어 or 있어요?
Either. 있어 is just informal
Great, now in practice mode I have to remember which lessons the sentences come from in order to use casual when it won't accept Polite.