{"common":{"save":0,"post_id":"7108","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5461","post_id":"7108","mon_id":"1158924","chapter_id":"1159168","question":"<p>Cho hai s\u1ed1 th\u1ef1c d\u01b0\u01a1ng x, y và hai s\u1ed1 th\u1ef1c <span class=\"math-tex\">$\\alpha,\\beta$<\/span> tu\u1ef3 ý. Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là <strong>sai<\/strong>?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x^\\alpha.x^\\beta=x^{\\alpha+\\beta}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x^\\alpha.y^\\beta=(xy)^{\\alpha+\\beta}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$(x^\\alpha)^\\beta=x^{\\alpha.\\beta}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$(xy)^\\alpha=x^\\alpha.y^\\alpha$<\/span>"],"correct":"2","level":"1","hint":"","answer":"<p>Câu <strong>sai <\/strong>là <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$x^\\alpha.y^\\beta=(xy)^{\\alpha+\\beta}$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 03:46:13","option_type":"math","len":0},{"id":"5462","post_id":"7108","mon_id":"1158924","chapter_id":"1159168","question":"<p>Rút g\u1ecdn bi\u1ec3u th\u1ee9c <span class=\"math-tex\">$\\sqrt{x\\sqrt{x\\sqrt{x}}}:x^\\frac{5}{8}$<\/span> (x > 0), ta \u0111\u01b0\u1ee3c<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\sqrt[4]{x}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\sqrt{x}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\sqrt[3]{x}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\sqrt[5]{x}$<\/span>"],"correct":"1","level":"1","hint":"","answer":"<p><span class=\"math-tex\">$\\sqrt{x\\sqrt{x\\sqrt{x}}}:x^\\frac{5}{8}$<\/span> = <span class=\"math-tex\">$\\sqrt{x\\sqrt{x.x^\\frac{1}{2}}}:x^\\frac{5}{8}$<\/span> = <span class=\"math-tex\">$\\sqrt{x.\\sqrt{x^\\frac{3}{2}}}:x^\\frac{5}{8}$<\/span> = <span class=\"math-tex\">$\\sqrt{x.x^\\frac{3}{4}}:x^\\frac{5}{8}$<\/span>= <span class=\"math-tex\">$\\sqrt{x^\\frac{7}{4}}:x^\\frac{5}{8}$<\/span><\/p><p>= <span class=\"math-tex\">$x^\\frac{7}{8}:x^\\frac{5}{8}$<\/span> = <span class=\"math-tex\">$x^\\frac{1}{4}$<\/span> = <span class=\"math-tex\">$\\sqrt[4]{x}$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> <span class=\"math-tex\">$\\sqrt[4]{x}$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 03:54:37","option_type":"math","len":0},{"id":"5463","post_id":"7108","mon_id":"1158924","chapter_id":"1159168","question":"<p>Cho hai s\u1ed1 th\u1ef1c d\u01b0\u01a1ng a, b v\u1edbi a <span class=\"math-tex\">$\\ne$<\/span> 1. Kh\u1eb3ng \u0111\u1ecbnh nào \u0111ây là \u0111úng?<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\log_a(a^3b^2)=3+\\log_ab$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\log_a(a^3b^2)=3+2\\log_ab$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\log_a(a^3b^2)=\\dfrac{3}{2}+\\log_ab$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\log_a(a^3b^2)=\\dfrac{1}{3}+\\dfrac{1}{2}\\log_ab$<\/span>"],"correct":"2","level":"1","hint":"","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\log_a(a^3b^2)=3+2\\log_ab$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 04:01:00","option_type":"math","len":0}]}