{"common":{"save":0,"post_id":"5651","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6858","post_id":"5651","mon_id":"1158532","chapter_id":"1158544","question":"<p>Nh\u1eefng s\u1ed1 nào sau \u0111ây có th\u1ec3 vi\u1ebft \u0111\u01b0\u1ee3c d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba c\u1ee7a <span class=\"math-tex\">$\\dfrac{1}{5}$<\/span> ?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{55}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{125}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{625}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{25}$<\/span>"],"correct":"[\"2\",\"3\",\"4\"]","level":"2","hint":"","answer":"<p>Ta có:<\/p><p><span class=\"math-tex\">$\\left( \\dfrac{1}{5} \\right)^{1}=\\dfrac{1}{5}\\\\ \\left( \\dfrac{1}{5} \\right)^{2}=\\dfrac{1}{25}\\\\ \\left( \\dfrac{1}{5} \\right)^{3}=\\dfrac{1}{125}\\\\ \\left( \\dfrac{1}{5} \\right)^{4}=\\dfrac{1}{625}$<\/span><\/p><p>Các \u0111áp án \u0111úng là <strong><span style=\"color:#16a085;\">B. <span class=\"math-tex\">$\\dfrac{1}{125}$<\/span> ; C. <span class=\"math-tex\">$\\dfrac{1}{625}$<\/span> , D. <span class=\"math-tex\">$\\dfrac{1}{25}$<\/span><\/span><\/strong><\/p>","type":"checkbox","extra_type":"classic-checkbox","time":"0","user_id":"131","test":"3","date":"2022-04-03 03:30:41","option_type":"math","len":0},{"id":"6861","post_id":"5651","mon_id":"1158532","chapter_id":"1158544","question":"<p>Tìm x bi\u1ebft <\/p><p><span class=\"math-tex\">$x^3=\\dfrac{8}{27}$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x=\\dfrac{2}{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x=\\dfrac{4}{3}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x = \\dfrac{1}{3}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x=\\dfrac{3}{2}$<\/span>"],"correct":"1","level":"2","hint":"<p>V\u1edbi n là s\u1ed1 t\u1ef1 nhiên l\u1ebb, ta có<\/p><p><span class=\"math-tex\">$x^n=y^n \\Leftrightarrow x = y$<\/span><\/p>","answer":"<p>Ta có:<\/p><p><span class=\"math-tex\">$x^3=\\dfrac{8}{27}$<\/span><\/p><p><span class=\"math-tex\">$x^3=\\dfrac{2^3}{3^3}$<\/span><\/p><p><span class=\"math-tex\">$x^3=\\left( \\dfrac{2}{3} \\right)^{3}$<\/span> <\/p><p><span class=\"math-tex\">$x = \\dfrac{2}{3}$<\/span><\/p><p>V\u1eady <span class=\"math-tex\">$x = \\dfrac{2}{3}$<\/span>.<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$x = \\dfrac{2}{3}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2022-04-03 03:39:13","option_type":"math","len":0},{"id":"6863","post_id":"5651","mon_id":"1158532","chapter_id":"1158544","question":"<p>Vi\u1ebft s\u1ed1 <span class=\"math-tex\">$\\left( \\dfrac{1}{16} \\right)^{4}$<\/span> d\u01b0\u1edbi d\u1ea1ng l\u0169y th\u1eeba c\u1ee7a c\u01a1 s\u1ed1 <span class=\"math-tex\">$\\dfrac{1}{2}$<\/span> .<\/p>","options":["<strong>A<\/strong>. <span class=\"math-tex\">$\\left( \\dfrac{1}{2} \\right)^{4}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\left( \\dfrac{1}{2} \\right)^{8}$<\/span>","<strong>C<\/strong>. <span class=\"math-tex\">$\\left( \\dfrac{1}{2} \\right)^{16}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\left( \\dfrac{1}{2} \\right)^{12}$<\/span>"],"correct":"3","level":"2","hint":"<p><span class=\"math-tex\">$(x^m)^n=x^{m.n}$<\/span><\/p>","answer":"<p>Ta có: <span class=\"math-tex\">$\\left( \\dfrac{1}{16} \\right)^{4}=\\left( \\left(\\dfrac{1}{2} \\right) ^4\\right)^{4}=\\left( \\dfrac{1}{2} \\right)^{4.4}=\\left( \\dfrac{1}{2} \\right)^{16}$<\/span> .<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>C<\/strong>. <span class=\"math-tex\">$\\left( \\dfrac{1}{2} \\right)^{16}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-03 03:47:22","option_type":"math","len":0}]}