Set a large skillet, pan, pot, or Dutch oven over medium-high heat. Add the ground beef and cook until no longer pink, breaking apart and stirring as the meat cooks. Drain the grease from the pot; add the rice, beef broth, soy sauce, oyster sauce, garlic powder, and pepper, and stir well to combine. Increase heat to high and bring to a boil, then stir and reduce to a simmer. Simmer, covered, for 10 minutes, stirring occasionally. Stir in shredded carrots and continue to cook for 5 to 10 more minutes, stirring occasionally, until rice and carrots are tender and the liquid is mostly absorbed. Stir in the thawed peas and cook for another minute until heated through.