Final answer:
An advanced exercise in mathematics should be applied when a student has a strong understanding of the core concepts and is ready for more challenging problems. The key points for performing it correctly include careful analysis, applying relevant mathematical concepts, and checking the solution.
Step-by-step explanation:
An advanced exercise should be applied in mathematics when a student has a strong understanding of the core concepts and is ready for a more challenging problem. These exercises often involve complex problem-solving, critical thinking, and advanced mathematical techniques. The key points for performing an advanced exercise correctly include careful analysis of the problem, breaking it down into smaller parts if necessary, applying relevant mathematical concepts and formulas, and checking the solution for accuracy and logical consistency.