{"paper":{"id":"site-2641","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","variant":null,"exam_pdf":null,"key_pdf":null,"question_count":15,"source_label":"Matematyka · Zbiory zadań (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},"questions":[{"id":"site-2641/zad/3087","paper_id":"site-2641","number":"3087","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 2^{40} * 4^{20} jest równa A. 4^{40} B. 4^{50} C. 8^{60} D. 8^{800}","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-3087.svg","solution_image":"img/site/2641/rozw-3087.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/3089","paper_id":"site-2641","number":"3089","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 7^{4/3} * pierwiastek 3 stopnia z 7^5 jest równa A. 7^{4/5} B. 7^3 C. 7^{20/9} D. 7^2","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-3089.svg","solution_image":"img/site/2641/rozw-3089.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/3090","paper_id":"site-2641","number":"3090","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 3^{30} * 9^{90} jest równa A. 3^{120} B. 3^{300} C. 9^{120} D. 27^{2700}","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-3090.svg","solution_image":"img/site/2641/rozw-3090.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/3091","paper_id":"site-2641","number":"3091","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 3^{8/3} * pierwiastek 3 stopnia z 9^2 jest równa A. 3^3 B. 3^{32/9} C. 3^4 D. 3^5","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-3091.svg","solution_image":"img/site/2641/rozw-3091.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/3281","paper_id":"site-2641","number":"3281","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczbę pierwiastek z 32 można przedstawić w postaci: A. 8 pierwiastków z 2, B. 12 pierwiastków z 3, C. 4 pierwiastków z 8, D. 4 pierwiastków z 2","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-3281.svg","solution_image":"img/site/2641/rozw-3281.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/4322","paper_id":"site-2641","number":"4322","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Połowa sumy 4^{28} + 4^{28} + 4^{28} + 4^{28}$ jest równa A 2^{30}, B. 2^{57}, C. 2^{63}, D. 2^{112}","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-4322.svg","solution_image":"img/site/2641/rozw-4322.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/5302","paper_id":"site-2641","number":"5302","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 2^{50}⋅ 3^{40} / 36^{10} jest równa A. 6^{70}; B. 6^{45}; C. 2^{30} ⋅ 3^{20}; D. 2^{10} ⋅ 3^{20}.","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-5302.svg","solution_image":"img/site/2641/rozw-5302.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/5467","paper_id":"site-2641","number":"5467","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Dla każdej dodatniej liczby b wyrażenie (2√b⋅4√b)^1/3 jest równe A. b² B. b^0,25 C. b^8/3 C. b^4/3","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-5467.svg","solution_image":"img/site/2641/rozw-5467.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/5762","paper_id":"site-2641","number":"5762","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Rozwiązanie zadania. Liczbę pierwiastek 4 stopnia z 9⋅√3 można zapisać w postaci A. 3^{5/8} B. 3^{11/4} C. 3^{1/4} D. 3^{9/8}","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-5762.svg","solution_image":"img/site/2641/rozw-5762.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/6644","paper_id":"site-2641","number":"6644","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Wartość wyrażenia 6^100 + 6^100 + 6^100 + 6^100 + 6^100 + 6^100 jest równa A. 6^600 B. 6^101 C. 36^100 D. 36^600","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-6644.svg","solution_image":"img/site/2641/rozw-6644.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/7237","paper_id":"site-2641","number":"7237","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba (3+√3/√3)^2 jest równa A. 4 B. 9 C. 3+√3/3 D. 4+2√3","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-7237.svg","solution_image":"img/site/2641/rozw-7237.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/7238","paper_id":"site-2641","number":"7238","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 3^9/4 jest równa A. 3⋅4√3 & B. 9⋅4√3 C. 27⋅4√3 D. 3^9⋅3^1/4","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-7238.svg","solution_image":"img/site/2641/rozw-7238.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/7241","paper_id":"site-2641","number":"7241","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Wskaż równość prawdziwą. A. -256^2=(-256)² B. 256³=(-256)³ C. √(-256)²=-256 D. ∛(-256)=-∛256","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-7241.svg","solution_image":"img/site/2641/rozw-7241.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/8137","paper_id":"site-2641","number":"8137","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba ∛-27 + pierwiastek piątego stopnia z -1 jest równa A. (-4) B. (-2) C. 2 D. 4","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-8137.svg","solution_image":"img/site/2641/rozw-8137.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"},{"id":"site-2641/zad/8138","paper_id":"site-2641","number":"8138","points":null,"ptype":"open","subject":"matematyka","category":"zbiory","year":0,"month":null,"level":"podstawowa","text":"Liczba 3^-1 ⋅ 4^0,5 / 3^-2 ⋅ 2^-1 jest równa A. 1/12 B. 12 C. 1/18 D. 18","answer":null,"answer_text":null,"solution":null,"image":"img/site/2641/zad-8138.svg","solution_image":"img/site/2641/rozw-8138.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 (podstawowa)","subject_label":"Matematyka","category_label":"Zbiory zadań"}]}