Cut the chicken into bite-sized pieces.
Dice the onion, potato, and carrot.
Put the chicken, vegetables, and water into a pot and bring to a boil.
Add soy sauce, sugar, cooking wine, garlic, and chili powder.
Pour in Silbi sauce and simmer over medium heat.
When the broth reduces, add rice cakes and glass noodles and cook until done.
Top with cheddar cheese, cover with a lid, and cook until the cheese melts.