{"id":"site-2038/zad/2040","paper_id":"site-2038","number":"2040","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":2009,"month":null,"level":"rozszerzona","text":"Porównaj liczby a^b oraz b^a, gdzie a=[(2-\\sqrt3)^{1\\o2}+(2+\\sqrt3)^{1\\o2}]^2, b={81^{-1}\\c\\prw3\\o27^{-2}\\c\\prw{4}{9}}","answer":null,"answer_text":null,"solution":null,"image":"img/site/2038/zad-2040.svg","solution_image":"img/site/2038/rozw-2040.svg","topics":null,"page_from":null,"source":"site","answer_source":null,"answer_text_source":null,"solution_source":null,"text_source":"site","source_label":"Matematyka · Zbiory zadań · 2009 (rozszerzona)","subject_label":"Matematyka","category_label":"Zbiory zadań","text_html":"<p>Porównaj liczby a^b oraz b^a, gdzie a=[(2-\\sqrt3)^{1\\o2}+(2+\\sqrt3)^{1\\o2}]^2, b={81^{-1}\\c\\prw3\\o27^{-2}\\c\\prw{4}{9}}</p>","solutions":[{"source":"site","label":"matematykaszkolna.pl","kind":"image","image":"/img/site/2038/rozw-2040.svg"}]}