72 hour trip - American with Korean E-2

I am a US citizen, living and working in South Korea on an E-2. My family is coming to visit me in June and we would like to visit Beijing for ~72 hours. Will I be able to visit, via the 72 hour exemption, or will I need to pay for/ obtain one for this short trip? I will have just over six months left in my ARC at the time of said trip. Thank you in advance for your reply!