In view of their potential impact and the challenges involved in effectively supervising them, special rules are needed regarding the supervision and enforcement in respect of providers of very large online platforms and of very large online search engines. The Commission should be responsible, with the support of national competent authorities where relevant, for oversight and public enforcement of systemic issues, such as issues with a wide impact on collective interests of recipients of the service. Therefore, the Commission should have exclusive powers of supervision and enforcement of the additional obligations to manage systemic risks imposed on providers of very large online platforms and of very large online search engines by this Regulation. The exclusive powers of the Commission should be without prejudice to certain administrative tasks assigned by this Regulation to the competent authorities of the Member State of establishment, such as the vetting of researchers.