{"common":{"save":0,"post_id":"754","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"841","post_id":"754","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"]]],"list":[{"point":10,"width":60,"type_input":"","input_hint":["frac"],"ques":"Cho A = $5 . 4^{15} . 9^9 - 4 . 3^{20} . 8^9$ <br\/> B = $5 . 2^9 . 6^{19} - 7 . 2^{29} . 27^6$ <br\/> V\u1eady A : B = _input_","hint":"Bi\u1ebfn \u0111\u1ed5i sau \u0111\u00f3 nh\u00f3m c\u00e1c nh\u00e2n t\u1eed chung \u1edf t\u1eed v\u00e0 m\u1eabu, sau \u0111\u00f3 tri\u1ec7t ti\u00eau c\u00e1c th\u1eeba s\u1ed1 gi\u1ed1ng nhau","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Chuy\u1ec3n c\u00e1c th\u1eeba s\u1ed1 c\u00f3 th\u1ec3 v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 2 ho\u1eb7c c\u01a1 s\u1ed1 3 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Th\u1ef1c hi\u1ec7n nh\u00e2n c\u00e1c l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 <br\/> <b> B\u01b0\u1edbc 3 : <\/b> Nh\u00f3m c\u00e1c th\u1eeba s\u1ed1 chung ra ngo\u00e0i r\u1ed3i r\u00fat g\u1ecdn <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/>$\\begin{align*} & \\dfrac{5 . 4^{15} . 9^9 - 4 . 3^{20} . 8^9}{5 . 2^9 . 6^{19} - 7 . 2^{29} . 27^6} \\\\\\\\ =& \\dfrac{5 . (2^2)^{15} . (3^2)^9 - 2^2 . 3^{20} . (2^3)^{9}}{5 . 2^9 . (2 . 3)^{19} - 7 . 2^{29}.3^{18}} \\\\\\\\ =& \\dfrac{5 . 2^{30} . 3^{18} - 2^2 . 3^{20} . 2^{27}}{5 . 2^9 . 2^{19} . 3^{19} - 7 . 2^{29} . 3^{18}} \\\\\\\\ =&\\dfrac{5 . 2^{30} . 3^{18} - 3^{20}.2^{29}}{5 . 2^{9 + 19} . 3^{19} - 7 . 2^{29} . 3^{18}} \\\\\\\\ =& \\dfrac{2^{29} . 3^{18} . (5 . 2 - 3^2)}{2^{28} . 3^{18} .(5 . 3 - 7 . 2)} \\\\\\\\=& \\dfrac{2 . (10 - 9)}{15 - 14} \\\\\\\\=& \\dfrac{2}{1} \\\\\\\\ =& 2\\end{align*}$<br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"81","test":"0","date":"2019-09-30 09:14:46"},{"id":"842","post_id":"754","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["2"]]],"list":[{"point":10,"width":60,"type_input":"","ques":" T\u00ednh. <br\/> $16 . 64 . 8^2 : (4^3 . 2^5 . 16)$ = _input_","hint":"Bi\u1ebfn \u0111\u1ed5i t\u1ea5t c\u1ea3 v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 2","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a $16, 64, 8^2, 4^3$ v\u1ec1 d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 2 <br\/> <b> B\u01b0\u1edbc 2: <\/b> Th\u1ef1c hi\u1ec7n nh\u00e2n, chia c\u00e1c l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/>$\\begin{align*} &16 . 64 . 8^2 : (4^3 . 2^5 . 16) \\\\\\\\ =& 2^4 . 2^6 . (2^3)^2 : ((2^2)^3 . 2^5 . 2^4) \\\\\\\\ =& 2^4 . 2^6 . 2^{3 . 2} : (2^{2 . 3} . 2^5 . 2^4) \\\\\\\\ =& 2^{4 + 6 + 6} : 2^{6 + 5 + 4} \\\\\\\\ =& 2^{16} : 2^{15} \\\\\\\\ =& 2^{16 - 15} \\\\\\\\ =& 2 \\end{align*}$ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 2 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:46"},{"id":"843","post_id":"754","mon_id":"0","chapter_id":"0","question":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","options":{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o ch\u1ed7 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["42"]]],"list":[{"point":10,"width":60,"type_input":"","ques":" <center><img src='img\/2.jpg' \/><\/center> <br\/> T\u00ecm x bi\u1ebft $(2x + 2^4) . 5^3 = 4 . 5^5$ <br\/> V\u1eady x = _input_","hint":"","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> Coi $(2x + 2^4)$ l\u00e0 th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm th\u1eeba s\u1ed1 ch\u01b0a bi\u1ebft ta l\u1ea5y t\u00edch chia cho th\u1eeba s\u1ed1 \u0111\u00e3 bi\u1ebft <br\/> <b> B\u01b0\u1edbc 2: <\/b> Coi 2x l\u00e0 s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft <br\/> Mu\u1ed1n t\u00ecm s\u1ed1 h\u1ea1ng ch\u01b0a bi\u1ebft ta l\u1ea5y t\u1ed5ng tr\u1eeb \u0111i s\u1ed1 h\u1ea1ng \u0111\u00e3 bi\u1ebft <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>Ta c\u00f3: <br\/> $\\begin{align*} (2x + 2^4) . 5^3 =& 4 . 5^5 \\\\ 2x + 2^4 =& 4 . 5^5 : 5^3 \\\\ 2x + 16 =& 4 . 5^{5 - 3} \\\\ 2x + 16 =& 4 . 5^2 \\\\ 2x =& 4 . 25 - 16 \\\\ 2x =& 100 - 16 \\\\ 2x =& 84 \\\\ x =& 84 : 2 \\\\ x =& 42 \\end{align*} $ <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 42 <\/span> "}]}]},"correct":"","level":"3","hint":"","answer":"","type":"json","extra_type":"","time":"0","user_id":"0","test":"0","date":"2019-09-30 09:14:46"}]}