{"segment":[{"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":[[["225"]]],"list":[{"point":10,"width":80,"type_input":"","ques":"T\u00ednh <br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/4.jpg' \/><\/center> <br\/> $1^3+ 2^3 + 3^3 + 4^3 + 5^3 $= _input_","hint":"T\u00ednh k\u1ebft qu\u1ea3 t\u1eebng s\u1ed1 h\u1ea1ng r\u1ed3i c\u1ed9ng l\u1ea1i","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $1^3 = ?; 2^3 = ?; 3^3 = ?; 4^3 = ?; 5^3 = ?$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> C\u1ed9ng c\u00e1c k\u1ebft qu\u1ea3 l\u1ea1i <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $1^3 = 1 . 1 . 1 = 1$ <br\/> $2^3 = 2 . 2 . 2 = 8$ <br\/> $3^3 = 3 . 3 . 3 = 27$ <br\/> $4^3 = 4 . 4 . 4 = 64$ <br\/> $5^3 = 5 . 5 . 5 = 125$ <br\/> $ \\begin{align*} \\text{N\u00ean:} & 1^3+ 2^3 + 3^3 + 4^3 + 5^3 \\\\ =& 1 + 8 + 27 + 64 + 125 \\\\ =& 225 \\end{align*}$ <br\/> <span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 225<\/span>"}]}],"id_ques":291},{"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":[[["353"]]],"list":[{"point":10,"width":80,"type_input":"","ques":"T\u00ednh <br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/4.jpg' \/><\/center> <br\/> $3^4+ 4^4 + 2^4$= _input_","hint":"T\u00ednh k\u1ebft qu\u1ea3 t\u1eebng s\u1ed1 h\u1ea1ng r\u1ed3i c\u1ed9ng l\u1ea1i","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $3^4 = ?; 4^4 = ?; 2^4 = ?$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> C\u1ed9ng c\u00e1c k\u1ebft qu\u1ea3 l\u1ea1i <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $3^4 = 3 . 3 . 3 . 3 = 81$ <br\/> $4^4 = 4 . 4 . 4 . 4 = 256$ <br\/> $2^4 = 2 . 2 . 2 . 2 = 16$ <br\/> <br\/> $ \\begin{align*} \\text{N\u00ean:} & 3^4+ 4^4 + 2^4 \\\\ =& 81 + 256 + 16 \\\\ =& 353 \\end{align*}$ <br\/> <span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 353<\/span>"}]}],"id_ques":292},{"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":[[["15"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/8.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean x bi\u1ebft: $5x + 3x = 3^3 . 4 + 12$ <br\/> V\u1eady x =_input_","hint":"T\u00ednh c\u00e1c l\u0169y th\u1eeba tr\u01b0\u1edbc r\u1ed3i t\u00ecm x nh\u01b0 b\u00ecnh th\u01b0\u1eddng","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b>T\u00ednh c\u00e1c l\u0169y th\u1eeba <br\/> <b> B\u01b0\u1edbc 2: <\/b> X 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\/> $\\begin{align*} 5x + 3x &= 3^3 . 4 + 12 \\\\ 8x &= 27 . 4 + 12 \\\\ 8x &= 108 + 12\\\\ 8x &= 120 \\\\ x &= 120 : 8 \\\\ x &= 15 \\end{align*}$ <br\/> <span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 15 <\/span> "}]}],"id_ques":293},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":10,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/10.jpg' \/><\/center> <br\/> $25^3. 125^2 = ?$ ","select":["A. $25^{5}$ ","B. $25^{7}$ ","C. $5^{10}$ ","D. $5^{12}$ "],"hint":"\u0110\u01b0a t\u1ea5t c\u1ea3 v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 5 r\u1ed3i so s\u00e1nh v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn: <br\/> <\/span> V\u00ec 125 kh\u00f4ng \u0111\u01b0a v\u1ec1 d\u1ea1ng l\u0169y th\u1eeba c\u01a1 s\u1ed1 25 \u0111\u01b0\u1ee3c <br\/> N\u00ean ta \u0111\u01b0a t\u1ea5t c\u1ea3 v\u1ec1 c\u01a1 s\u1ed1 5 \u0111\u1ec3 so s\u00e1nh v\u00e0 ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang <br\/> $25 = 5^2; 125 = 5^3$ <br\/><br\/><\/span><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Ta c\u00f3: <br\/> $\\begin{align*}25^3 . 125^2 &= (5. 5)^3 . (5 . 5 . 5)^ 2 \\\\ &= (5^2)^3 .(5^3)^2 \\\\ &= 5^{2.3} . 5^{3.2} \\\\ &= 5^6. 5^6 \\\\ &=5^{6 + 6} \\\\ &= 5^{12} \\end{align*}$ <br\/> $25^5 = (5.5)^5 = (5^2)^5 = 5^{2.5} = 5^{10} \\neq 5^{12}$ <b> (lo\u1ea1i) <\/b> <br\/> $25^7 = (5^2)^7 = 5^{2.7} = 5^{14} \\neq 5^{12}$ <b> (lo\u1ea1i) <\/b><br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: D. $5^{12}$<\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: $(a^m)^n = a^{m.n}$ <\/i><\/span>","column":2}]}],"id_ques":294},{"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":[[["6"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/2.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean a bi\u1ebft: $a^3 = 216$ <br\/> V\u1eady a =_input_","hint":"Bi\u1ebfn \u0111\u1ed5i 216 th\u00e0nh l\u0169y th\u1eeba b\u1eadc 3 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b>Vi\u1ebft 216 th\u00e0nh l\u0169y th\u1eeba b\u1eadc 3 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean m <br\/> <b> B\u01b0\u1edbc 2: <\/b> $a^3 = m^3$ suy ra a = m <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/>216 = 2 . 2 . 2 . 3 . 3 . 3 = (2 . 3) . (2 . 3) . (2 . 3) = 6 . 6 . 6 = $6^3$<br\/> V\u00ec $a^3 = 216 = 6^3$ <br\/> N\u00ean a = 6 <br\/> <span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 6 <\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: $x^m = a^m$ khi v\u00e0 ch\u1ec9 khi x = a <\/i><\/span> "}]}],"id_ques":295},{"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":[[["3"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/3.jpg' \/><\/center> <br\/> T\u00ecm s\u1ed1 t\u1ef1 nhi\u00ean n bi\u1ebft: $2^n.2^4 = 128$ <br\/> V\u1eady n =_input_","hint":"Vi\u1ebft g\u1ecdn VT d\u01b0\u1edbi d\u1ea1ng l\u0169y b\u1eadc x th\u1eeba c\u01a1 s\u1ed1 2, bi\u1ebfn \u0111\u1ed5i VP th\u00e0nh 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>T\u00ednh $2^n.2^4 = 2^{n+4}$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Bi\u1ebfn \u0111\u1ed5i 128 th\u00e0nh d\u1ea1ng l\u0169y th\u1eeba b\u1eadc a c\u01a1 s\u1ed1 2 <br\/> <b> B\u01b0\u1edbc 3: <\/b> $2^{n+4} = 2^a$ suy ra n + 4 = a t\u1eeb \u0111\u00f3 ta t\u00ecm \u0111\u01b0\u1ee3c n <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/> $2^n.2^4 = 2^{n+4}$ <br\/> $128 = 2 . 2 . 2 . 2 . 2 . 2 . 2 = 2^7$ <br\/> V\u00ec: $2^n.2^4 = 128$ n\u00ean $a^{n + 4} = 2^7$ <br\/> Suy ra n + 4 = 7 hay n = 3 <br\/> <span class='basic_pink'>V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 3 <\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: $a^m = a^n$ ($a \\neq 0, 1$) khi v\u00e0 ch\u1ec9 khi m = n <\/i><\/span> "}]}],"id_ques":296},{"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":[[["10"]]],"list":[{"point":10,"width":50,"type_input":"","input_hint":["sqr"],"ques":"H\u00e3y vi\u1ebft t\u1ed5ng sau th\u00e0nh b\u00ecnh ph\u01b0\u01a1ng c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean. <br\/> V\u1eady $6^2 + 8^2 = $ _input_<sup>2<\/sup>","hint":"T\u00ednh t\u1ed5ng sau \u0111\u00f3 bi\u1ebfn \u0111\u1ed5i k\u1ebft qu\u1ea3 th\u00e0nh d\u1ea1ng l\u0169y th\u1eeba b\u1eadc 2 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/><b> B\u01b0\u1edbc 1: <\/b> T\u00ednh $6^2 + 8^2 = ?$ <br\/> <b> B\u01b0\u1edbc 2: <\/b> Bi\u1ebfn \u0111\u1ed5i k\u1ebft qu\u1ea3 b\u01b0\u1edbc 1 th\u00e0nh d\u1ea1ng l\u0169y th\u1eeba b\u1eadc 2 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $6^2 + 8^2 = 6 . 6 + 8 . 8 = 36 + 64 = 100$ <br\/> m\u00e0 100 = 10 . 10 = $10^2$"}]}],"id_ques":297},{"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":[[["1"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"<center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/11.jpg' \/><\/center> <br\/> Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $11^{10}$ l\u00e0: _input_","hint":"Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $11^{10}$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $1^{10}$","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b>M\u1ed8T S\u1ed0 T\u00cdNH CH\u1ea4T \u00c1P D\u1ee4NG TRONG B\u00c0I T\u00ccM CH\u1eee S\u1ed0 T\u1eacN C\u00d9NG: <\/b> <br\/> <b>* T\u00ednh ch\u1ea5t 1: <\/b> <br\/> <i> + C\u00e1c s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0, 1, 5, 6 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc b\u1ea5t k\u00ec th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng kh\u00f4ng thay \u0111\u1ed5i <br\/> + C\u00e1c s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 4, 9 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc l\u1ebb th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng kh\u00f4ng thay \u0111\u1ed5i <br\/> + C\u00e1c s\u1ed1 3, 7, 9 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n ($n \\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> + C\u00e1c s\u1ed1 2, 4, 8 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n ($ n \\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 6 <\/i><br\/> <b> * T\u00ednh ch\u1ea5t 2: <\/b> <br\/> <i> M\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean b\u1ea5t k\u00ec khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 1 ($ n \\in \\mathbb{N}$) th\u00ec ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng kh\u00f4ng thay \u0111\u1ed5i <\/i> <br\/> <b> * T\u00ednh ch\u1ea5t 3: <\/b> <br\/> + <i>S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 3 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 7, s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 7 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 3 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 3 <br\/> + S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 2 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 3 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 8; s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 8 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 3 s\u1ebd c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 2 <br\/> + C\u00e1c s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0, 1, 4, 5, 6, 9 khi n\u00e2ng l\u00ean l\u0169y th\u1eeba b\u1eadc 4n + 3 s\u1ebd kh\u00f4ng thay \u0111\u1ed5i ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng <\/i> <\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: <br\/>Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $11^{10}$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $1^{10}$ <br\/> $1^{10} = \\underbrace{1.1...1}_{10 \\text{th\u1eeba s\u1ed1 1}} = 1$ <br\/> V\u1eady ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $11^{10}$ l\u00e0 1 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1<\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $\\overline{abc..xyz}^n$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $z^n$ <\/i><\/span>"}]}],"id_ques":298},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":10,"ques":" H\u00e3y ch\u1ecdn d\u1ea5u th\u00edch h\u1ee3p thay cho d\u1ea5u <span class='basic_hoi_black'>?<\/span> <br\/><center><img src='https://www.luyenthi123.com/file/luyenthi123/lop6/toan/daiso/bai6/lv3/img\/5.jpg' \/><\/center> <br\/> $27^{11}$ <span class='basic_hoi_black'>?<\/span> $81^{8}$","select":["A. >","B. < ","C. = "],"hint":"\u0110\u01b0a v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 3 \u0111\u1ec3 so s\u00e1nh","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn: <br\/> <\/span> <b> PH\u01af\u01a0NG PH\u00c1P CHUNG: <\/b> <br\/> <i> Th\u01b0\u1eddng \u0111\u1ec3 so s\u00e1nh hai l\u0169y th\u1eeba ta \u0111\u01b0a v\u1ec1 d\u1ea1ng so s\u00e1nh hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 ho\u1eb7c c\u00f9ng s\u1ed1 m\u0169 <br\/> + N\u1ebfu hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1, l\u0169y th\u1eeba n\u00e0o c\u00f3 s\u1ed1 m\u0169 l\u1edbn h\u01a1n th\u00ec l\u1edbn h\u01a1n <br\/>N\u1ebfu m > n th\u00ec $a^m > a^n$ <br\/> + N\u1ebfu hai l\u0169y th\u1eeba c\u00f9ng s\u1ed1 m\u0169 th\u00ec l\u0169y th\u1eeba n\u00e0o c\u00f3 c\u01a1 s\u1ed1 l\u1edbn h\u1edbn s\u1ebd l\u1edbn h\u01a1n <br\/> N\u1ebfu a > b th\u00ec $a^n > b^n$ <\/i> <br\/> <b> C\u1ee5 th\u1ec3: <\/b> <br\/> <b> B\u01b0\u1edbc 1: <\/b> \u0110\u01b0a $27^{11}$ v\u00e0 $81^{8}$ v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 3 <br\/>$27 = 3^3$ n\u00ean $27^{11} = (3^3)^{11}= 3^?$ <br\/> $81^{8} = (3^4)^8 = 3^{x}$ <br\/><b> B\u01b0\u1edbc 2: <\/b> So s\u00e1nh $3^?$ v\u00e0 $3^{x}$ <br\/><br\/><\/span><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span> <br\/> Nh\u1eadn th\u1ea5y c\u00f3 th\u1ec3 \u0111\u01b0a 27 v\u00e0 81 v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 3 <br\/> N\u00ean ta \u0111\u01b0a $27^{11}$ v\u00e0 $81^{8}$ v\u1ec1 c\u00f9ng c\u01a1 s\u1ed1 3 \u0111\u1ec3 so s\u00e1nh <br\/> $27^{11} = (3^3)^{11} = 3^{3.11} = 3^{33}$ <br\/> $81^8 = (3^4)^8 = 3^{4.8} = 3^{32}$ <br\/> M\u00e0 $3^{33} > 3^{32}$ <br\/> N\u00ean $27^{11} > 81^{8}$<br\/> <span class='basic_pink'>V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0: A. > <\/span> <br\/><span class='basic_green'> ","column":3}]}],"id_ques":299},{"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":[[["1"]]],"list":[{"point":10,"width":60,"type_input":"","ques":"T\u00ecm d\u01b0 khi chia $17^8$ cho 5? <br\/> D\u01b0 l\u00e0: _input_","hint":"T\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $17^8$ r\u1ed3i x\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng \u0111\u00f3<br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0, 5 th\u00ec chia h\u1ebft cho 5","explain":"<span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> B\u01b0\u1edbc 1: <\/b> T\u00ecm ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $17^8$ <br\/> Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $17^8$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $7^8$ <br\/><b> B\u01b0\u1edbc 2: <\/b> T\u00ecm d\u01b0 khi chia s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng v\u1eeba t\u00ecm \u1edf b\u01b0\u1edbc 1 cho 5<\/span> <br\/><br\/> <span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/>V\u00ec s\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 0; 5 th\u00ec chia h\u1ebft cho 5 <br\/> N\u00ean ta ch\u1ec9 c\u1ea7n x\u00e9t ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $17^8$ <br\/> Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $17^8$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a $7^8$ <br\/> M\u00e0 $7^4 = 2401$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> N\u00ean $7^8 = (7^4)^2$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> V\u1eady $17^8$ c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 <br\/> S\u1ed1 c\u00f3 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng l\u00e0 1 khi chia cho 5 th\u00ec d\u01b0 l\u00e0 1 <br\/> N\u00ean $17^8$ chia cho 5 d\u01b0 1 <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0: 1<\/span> <br\/> <span class='basic_green'> <i> L\u01b0u \u00fd: Ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $\\overline{abc..xyz}^n$ ch\u00ednh l\u00e0 ch\u1eef s\u1ed1 t\u1eadn c\u00f9ng c\u1ee7a s\u1ed1 $z^n$ <\/i><\/span>"}]}],"id_ques":300}],"lesson":{"save":0,"level":3}}