{"segment":[{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["3"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm $n$ bi\u1ebft: $ 5^{n} = 125 $ <br\/> <b> \u0110\u00e1p s\u1ed1: <\/b> $ n= $ _input_","hint":" \u0110\u01b0a 125 v\u1ec1 l\u0169y th\u1eeba c\u1ee7a 5","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> T\u00ecm t\u00ecm s\u1ed1 m\u0169 c\u1ee7a m\u1ed9t l\u0169y th\u1eeba <\/b> <br\/> C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c t\u00ednh ch\u1ea5t \u0111\u01b0\u1ee3c th\u1eeba nh\u1eadn d\u01b0\u1edbi \u0111\u00e2y: <br\/> $ \\bullet $ V\u1edbi $ a \\neq 0; a \\neq \\pm 1, $ n\u1ebfu $ a^{m} = a^{n}$ th\u00ec $ m = n$ <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> Ta c\u00f3: $ 5^{n} = 125 = 5^{3} $ <br\/> Do \u0111\u00f3: $ n = 3 $ <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb c\u1ee7a $n$ b\u1eb1ng $3.$ <\/span><\/span> "}]}],"id_ques":201},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["4"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm $n$ bi\u1ebft: $ \\left(\\dfrac{3}{7}\\right)^{n}= \\dfrac{81}{2401}$ <br\/> <b> \u0110\u00e1p s\u1ed1: <\/b> $ n $= _input_","hint":" \u0110\u01b0a $\\dfrac{81}{2401}$ v\u1ec1 l\u0169y th\u1eeba c\u01a1 s\u1ed1 $ \\dfrac{3}{7}$.","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> T\u00ecm s\u1ed1 m\u0169 c\u1ee7a m\u1ed9t l\u0169y th\u1eeba <\/b> <br\/> C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng c\u00e1c t\u00ednh ch\u1ea5t \u0111\u01b0\u1ee3c th\u1eeba nh\u1eadn d\u01b0\u1edbi \u0111\u00e2y: <br\/> $ \\bullet $ V\u1edbi $ a \\neq 0; a \\neq \\pm 1, $ n\u1ebfu $ a^{m} = a^{n}$ th\u00ec $ m = n$ <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> Ta c\u00f3: $ \\left(\\dfrac{3}{7}\\right)^{n} = \\dfrac{81}{2401} = \\left(\\dfrac{3}{7}\\right)^{4}$ <br\/> Do \u0111\u00f3: $ n = 4 $ <br\/> <br\/> <span class='basic_pink'> Gi\u00e1 tr\u1ecb c\u1ee7a $n$ b\u1eb1ng $4.$ <\/span><\/span> "}]}],"id_ques":202},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[1]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm x, bi\u1ebft r\u1eb1ng: <br\/> $ |x| : \\left( \\dfrac{1}{3} \\right)^{2} = \\left( \\dfrac{1}{3}\\right)^{3}$","select":["A. $ x = \\pm \\left( \\dfrac{1}{3} \\right)^{5} $","B. $ x = \\dfrac{1}{243} $ ","C. $ x = -\\dfrac{1}{243} $","D. $ x = \\dfrac{1}{3} $"],"hint":" \u00c1p d\u1ee5ng: $x^{m} . x^{n} = x^{m+n}$","explain":" Ta c\u00f3: $ |x| : \\left( \\dfrac{1}{3} \\right)^{2} = \\left( \\dfrac{1}{3} \\right)^{3} \\\\ \\Rightarrow |x| =\\left( \\dfrac{1}{3} \\right)^{3} . \\left( \\dfrac{1}{3} \\right)^{2} \\\\ \\Rightarrow |x| = \\left( \\dfrac{1}{3} \\right)^{3+2} = \\left( \\dfrac{1}{3} \\right)^{5} \\\\ \\Rightarrow x = \\pm \\left( \\dfrac{1}{3} \\right)^{5}$ <br\/> V\u1eady $ x = \\pm \\left( \\dfrac{1}{3} \\right)^{5}$ <br\/> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 A.<\/span><\/span> ","column":2}]}],"id_ques":203},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[3]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm x, bi\u1ebft r\u1eb1ng: $ (x - 1)^{4} = 16 $","select":["A. $ x = 3 $","B. $ x = -1 $ ","C. $ x \\in \\lbrace -1; 3 \\rbrace $","D. $ x \\in \\lbrace -1; -3 \\rbrace $"],"hint":" \u0110\u01b0a 16 v\u1ec1 c\u01a1 s\u1ed1 c\u00f3 m\u0169 4","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> $ \\bullet $ V\u1edbi $ n \\in \\mathbb{N}; n \\geq 1,$ n\u1ebfu $ a^{n} = b^{n}$ th\u00ec: <br\/> $ \\qquad a = b$ n\u1ebfu n l\u1ebb; <br\/> $\\qquad a = \\pm b$ n\u1ebfu n ch\u1eb5n. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i: <\/span> <br\/> Ta c\u00f3: $ (x - 1)^{4} = 16 $ m\u00e0 $ 16 = (\\pm2)^{4} $ <br\/> N\u00ean $ (x - 1)^{4} = (\\pm2)^{4}$ <br\/> X\u00e9t $(x - 1)^{4} = 2^{4} \\\\ \\Rightarrow x - 1 = 2 \\\\ \\Rightarrow x = 3 $ <br\/> X\u00e9t $(x - 1)^{4} = (-2)^{4}\\\\ \\Rightarrow x - 1 = -2\\\\ \\Rightarrow x = -1 $ <br\/> V\u1eady $ x \\in \\lbrace -1; 3 \\rbrace $ <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 C.<\/span><\/span> ","column":2}]}],"id_ques":204},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm x, bi\u1ebft r\u1eb1ng: $ (x - 2)^{2} = 1 $","select":["A. $ x = 3 $","B. $ x = -1 $ ","C. $ x \\in \\lbrace -1; 3 \\rbrace $","D. $ x \\in \\lbrace 1; 3 \\rbrace $"],"hint":" N\u1ebfu $x^2=a^2$ th\u00ec $x = \\pm a$","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> $ \\bullet $ V\u1edbi $ n \\in \\mathbb{N}; n \\geq 1,$ n\u1ebfu $ a^{n} = b^{n}$ th\u00ec: <br\/> $ \\qquad a = b$ n\u1ebfu n l\u1ebb; <br\/> $\\qquad a = \\pm b$ n\u1ebfu n ch\u1eb5n. <br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> Ta c\u00f3: $ (x - 2)^{2} = 1 $ m\u00e0 $ 1 = (\\pm 1)^{2} $ <br\/> N\u00ean $ (x - 2)^{2} = (\\pm 1)^{2}$ <br\/> Tr\u01b0\u1eddng h\u1ee3p 1: $(x - 2)^{2} = 1^{2}\\\\ \\Rightarrow x - 2 = 1\\\\ \\Rightarrow x = 3 $ <br\/> Tr\u01b0\u1eddng h\u1ee3p 2: $(x - 2)^{2} = (-1)^{2}\\\\ \\Rightarrow x - 2 = -1\\\\ \\Rightarrow x = 1 $ <br\/> V\u1eady $ x \\in \\lbrace 1; 3 \\rbrace $ <br\/> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 D.<\/span><\/span> ","column":2}]}],"id_ques":205},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/7.jpg'\/><\/center> T\u00ecm x, bi\u1ebft r\u1eb1ng: $ \\left( \\dfrac{3}{4} \\right)^{5} . x = \\left( \\dfrac{3}{4} \\right)^{7} $","select":["A. $ x = \\left( \\dfrac{3}{4} \\right)^{12} $","B. $ x = \\left( \\dfrac{3}{4} \\right)^{35} $ ","C. $ x = \\left( \\dfrac{3}{4} \\right)^{7} $","D. $ x = \\dfrac{9}{16} $"],"hint":"\u00c1p d\u1ee5ng: $x^{m} : x^{n} = x^{m-n}$ ","explain":" Ta c\u00f3: $ \\left( \\dfrac{3}{4} \\right)^{5} . x = \\left( \\dfrac{3}{4} \\right)^{7} \\\\ \\Rightarrow x = \\left( \\dfrac{3}{4} \\right)^{7} : \\left( \\dfrac{3}{4} \\right)^{5} \\\\ \\Rightarrow x = \\left( \\dfrac{3}{4} \\right)^{7-5} \\\\ \\Rightarrow x = \\left( \\dfrac{3}{4} \\right)^{2} \\\\ \\Rightarrow x = \\dfrac{9}{16}$ <br\/> V\u1eady gi\u00e1 tr\u1ecb c\u1ee7a $ x$ l\u00e0 $ \\dfrac{9}{16}$ <br\/> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 D.<\/span><\/span> ","column":2}]}],"id_ques":206},{"time":24,"part":[{"title":"\u0110i\u1ec1n d\u1ea5u ''='', ''>'', ''<'' v\u00e0o \u00f4 tr\u1ed1ng","temp":"fill_the_blank","correct":[[["<"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/9.jpg'\/><\/center> So s\u00e1nh hai l\u0169y th\u1eeba sau: <br\/> $ 2^{300} $_input_$3^{200} $ ","hint":" \u0110\u01b0a v\u1ec1 hai c\u01a1 s\u1ed1 c\u00f9ng s\u1ed1 m\u0169","explain":" \u0110\u01b0a v\u1ec1 hai l\u0169y th\u1eeba c\u00f3 c\u00f9ng s\u1ed1 m\u0169 r\u1ed3i so s\u00e1nh: <br\/> <br\/> Ta c\u00f3: $ 2^{300} = (2^{3})^{100} = 8^{100} \\\\ 3^{200} = (3^{2})^{100} = 9^{100}$ <br\/> V\u00ec $ 8^{100} < 9^{100} $ n\u00ean $2^{300} < 3^{200} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0 $<$ <\/span><\/span>"}]}],"id_ques":207},{"time":24,"part":[{"title":"\u0110i\u1ec1n d\u1ea5u ''='', ''>'', ''<'' v\u00e0o \u00f4 tr\u1ed1ng","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/9.jpg'\/><\/center> So s\u00e1nh hai l\u0169y th\u1eeba sau: <br\/> $ \\left(\\dfrac{1}{2}\\right)^{2} . \\left(\\dfrac{1}{2}\\right)^{5} $_input_$ \\left[\\left(\\dfrac{1}{2}\\right)^{2}\\right]^{5}$ ","hint":" Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh \u1edf 2 v\u1ebf r\u1ed3i so s\u00e1nh","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> <b> * So s\u00e1nh hai l\u0169y th\u1eeba<\/b> <br\/> C\u00f3 th\u1ec3 \u0111\u01b0a v\u1ec1 so s\u00e1nh hai l\u0169y th\u1eeba c\u00f9ng s\u1ed1 m\u0169 ho\u1eb7c c\u00f9ng c\u01a1 s\u1ed1. <br\/> $\\bullet$ Khi c\u01a1 s\u1ed1 $a > 1$ v\u00e0 $ m > n > 0$ th\u00ec $a^{m} > a^{n}$ <br\/> $\\bullet$ Khi $0 < a < 1$ v\u00e0 $m > n$ th\u00ec $a^{m} < a^{n}$ <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> <br\/> So s\u00e1nh hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1 <br\/> Ta c\u00f3: $ \\left(\\dfrac{1}{2}\\right)^{2} . \\left(\\dfrac{1}{2}\\right)^{5} = \\left(\\dfrac{1}{2}\\right)^{2+5} = \\left(\\dfrac{1}{2}\\right)^{7} \\\\ \\left[\\left(\\dfrac{1}{2}\\right)^{2}\\right]^{5} = \\left(\\dfrac{1}{2}\\right)^{2.5} = \\left(\\dfrac{1}{2}\\right)^{10} $ <br\/> Nh\u1eadn x\u00e9t: C\u01a1 s\u1ed1 $ 0 < \\dfrac{1}{2} < 1$ v\u00e0 s\u1ed1 m\u0169 $ 10 > 7$ n\u00ean $ \\left(\\dfrac{1}{2}\\right)^{10} < \\left(\\dfrac{1}{2}\\right)^{7} $ <br\/> Suy ra: $ \\left[\\left(\\dfrac{1}{2}\\right)^{2}\\right]^{5} < \\left(\\dfrac{1}{2}\\right)^{2} . \\left(\\dfrac{1}{2}\\right)^{5} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0 $>$ <\/span><\/span>"}]}],"id_ques":208},{"time":24,"part":[{"title":"\u0110i\u1ec1n d\u1ea5u ''='', ''>'', ''<'' v\u00e0o \u00f4 tr\u1ed1ng","temp":"fill_the_blank","correct":[[[">"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/9.jpg'\/><\/center> So s\u00e1nh hai l\u0169y th\u1eeba sau: <br\/> $ 4^{20} $_input_$ 9^{10} $ ","hint":"\u0110\u01b0a v\u1ec1 hai c\u01a1 s\u1ed1 c\u00f3 c\u00f9ng s\u1ed1 m\u0169 ","explain":" So s\u00e1nh hai l\u0169y th\u1eeba c\u00f9ng s\u1ed1 m\u0169 <br\/> Ta c\u00f3: $4^{20} = 4^{20} \\\\ 9^{10} = (3^{2})^{10} = 3^{2.10} = 3^{20} $ <br\/> V\u00ec $4^{20} > 3^{20}$ n\u00ean $4^{20} > 9^{10} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady d\u1ea5u c\u1ea7n \u0111i\u1ec1n l\u00e0 $>$ <\/span><\/span> "}]}],"id_ques":209},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[2]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p nh\u00e2n $3^{6} . 3^{2} $ l\u00e0:","select":["A. $3^{4}$","B. $3^{8}$ ","C. $3^{12}$","D. $ 9^{8} $"],"hint":"\u00c1p d\u1ee5ng: $x^{m} . x^{n} = x^{m+n}$ ","explain":" Ta c\u00f3: $3^{6} . 3^{2} = 3^{6+2} = 3^{8} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 B.<\/span><\/span> ","column":2}]}],"id_ques":210},{"time":24,"part":[{"title":"L\u1ef1a ch\u1ecdn \u0111\u00e1p \u00e1n \u0111\u00fang nh\u1ea5t","title_trans":"","temp":"multiple_choice","correct":[[4]],"list":[{"point":5,"ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p chia $25^{3} : 5^{2} $ l\u00e0:","select":["A. $ 5^{8} $","B. $ 5^{7} $ ","C. $ 5^{6} $","D. $ 5^{4} $"],"hint":" \u00c1p d\u1ee5ng: $x^{m} : x^{n} = x^{m-n}$","explain":" \u0110\u01b0a v\u1ec1 hai l\u0169y th\u1eeba c\u00f9ng c\u01a1 s\u1ed1: <br\/> Ta c\u00f3: $25^{3} : 5^{2} = (5^{2})^{3} : 5^{2} = 5^{6} : 5^{2} = 5^{6-2} = 5^{4} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady \u0111\u00e1p \u00e1n \u0111\u00fang l\u00e0 D.<\/span><\/span> ","column":2}]}],"id_ques":211},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["6"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> $ (2^{2})^{3} = 2^k$; T\u00ednh $k$= _input_","hint":" \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: $ (x^{m})^{n} = x^{m.n} $","explain":" Ta c\u00f3: $(2^{2})^{3} = 2^{2.3} = 2^{6} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $6$<\/span><\/span> "}]}],"id_ques":212},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["10"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> $ \\left[\\left(\\dfrac{-1}{2}\\right)^{2}\\right]^{5} = \\left(\\dfrac{-1}{2}\\right)^k$ ;T\u00ednh $k$ = _input_","hint":" \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: $ (a^{m})^{n} = a^{m.n} $ ","explain":" Ta c\u00f3: $\\left[\\left(\\dfrac{-1}{2}\\right)^{2}\\right]^{5} = \\left(\\dfrac{-1}{2}\\right)^{2.5} = \\left(\\dfrac{-1}{2}\\right)^{10} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $10$ <\/span><\/span> "}]}],"id_ques":213},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["2187"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p nh\u00e2n $ \\left( \\dfrac{1}{3} \\right)^{3} . \\left( \\dfrac{1}{3} \\right)^{4} $ = <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div> ","hint":" \u00c1p d\u1ee5ng: $x^{m} . x^{n} = x^{m+n}$","explain":" Ta c\u00f3: $\\left( \\dfrac{1}{3} \\right)^{3} . \\left( \\dfrac{1}{3} \\right)^{4} = \\left( \\dfrac{1}{3} \\right)^{3+4} $$= \\left( \\dfrac{1}{3} \\right)^{7} = \\dfrac{(1)^{7}}{3^{7}} = \\dfrac{1}{2187} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0 1 v\u00e0 2187.<\/span><\/span> "}]}],"id_ques":214},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"],["16"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center> Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh: $ \\left( \\dfrac{-1}{4} \\right)^{5} : \\left( \\dfrac{-1}{4} \\right)^{3} $ = <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":" \u00c1p d\u1ee5ng: $x^{m} : x^{n} = x^{m-n}$","explain":" Ta c\u00f3: $\\left( \\dfrac{-1}{4} \\right)^{5} : \\left( \\dfrac{-1}{4} \\right)^{3} = \\left( \\dfrac{-1}{4} \\right)^{5-3} $$= \\left( \\dfrac{-1}{4} \\right)^{2} = \\dfrac{(-1)^{2}}{4^{2}} $$= \\dfrac{1}{16} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0 1 v\u00e0 16 <\/span><\/span> <span class='basic_left'> <i> L\u01b0u \u00fd: <\/i> $\\bullet$ L\u0169y th\u1eeba b\u1eadc ch\u1eb5n c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng. <br\/> $\\qquad \\quad \\bullet$ L\u0169y th\u1eeba b\u1eadc l\u1ebb c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 \u00e2m. <\/span> <br\/>"}]}],"id_ques":215},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["0,5625"]]],"list":[{"point":5,"width":100,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/2.jpg'\/><\/center>Th\u1ef1c hi\u1ec7n ph\u00e9p t\u00ednh: $ (-0,75)^{4} : (-0,75)^{2} $= _input_ ","hint":" \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c: $ x^{m} : x^{n} = x^{m-n} $","explain":" Ta c\u00f3: $(-0,75)^{4} : (-0,75)^{2} = (-0,75)^{4-2} = (-0,75)^{2} = 0,5625 $ <br\/> <br\/> <span class='basic_pink'> S\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u00e0 $0,5625$.<\/span><\/span> <span class='basic_left'> <i> L\u01b0u \u00fd: <\/i> $\\bullet$ L\u0169y th\u1eeba b\u1eadc ch\u1eb5n c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng. <br\/> $\\qquad \\quad \\bullet$ L\u0169y th\u1eeba b\u1eadc l\u1ebb c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 \u00e2m. <\/span> <br\/>"}]}],"id_ques":216},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["9"],["16"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/4.jpg'\/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a l\u0169y th\u1eeba: $ \\left( \\dfrac{-3}{4} \\right) ^{2} $= <div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","explain":" <span class='basic_left'><span class='basic_green'>H\u01b0\u1edbng d\u1eabn:<\/span><br\/> * Khi vi\u1ebft s\u1ed1 h\u1eefu t\u1ec9 d\u01b0\u1edbi d\u1ea1ng $\\dfrac{a}{b} (a,b \\in \\mathbb{Z}, b \\neq0)$ ta c\u00f3: <br\/> $\\left( \\dfrac{a}{b} \\right)^{n} = \\dfrac{a^{n}}{b^{n}}$ <\/span> <br\/><br\/><span class='basic_green'>B\u00e0i gi\u1ea3i:<\/span><br\/> <br\/> V\u1eadn d\u1ee5ng \u0111\u1ecbnh ngh\u0129a c\u1ee7a l\u0169y th\u1eeba ta c\u00f3: <br\/> <br\/> $\\left( \\dfrac{-3}{4} \\right)^{2} = \\dfrac{(-3)^{2}}{4^{2}} = \\dfrac{9}{16} $ <br\/> <br\/> <span class='basic_pink'> V\u1eady s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t l\u00e0 9 v\u00e0 16 <\/span><\/span> <span class='basic_left'> <i> L\u01b0u \u00fd: <\/i> $\\bullet$ L\u0169y th\u1eeba b\u1eadc ch\u1eb5n c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng. <br\/> $\\qquad \\quad \\bullet$ L\u0169y th\u1eeba b\u1eadc l\u1ebb c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 \u00e2m. <\/span> <br\/>"}]}],"id_ques":217},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-729"],["64"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/4.jpg'\/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a l\u0169y th\u1eeba: $ \\left( -2\\dfrac{1}{4} \\right) ^{3} $=<div class=\"frac123\"><div class=\"ts\">_input_<\/div><div class=\"ms\">_input_<\/div><\/div>","hint":"\u0110\u01b0a h\u1ed7n s\u1ed1 v\u1ec1 d\u1ea1ng ph\u00e2n s\u1ed1 r\u1ed3i \u00e1p d\u1ee5ng, $\\left( \\dfrac{a}{b} \\right)^{n} = \\dfrac{a^{n}}{b^{n}}$ ","explain":" V\u1eadn d\u1ee5ng \u0111\u1ecbnh ngh\u0129a c\u1ee7a l\u0169y th\u1eeba ta c\u00f3: <br\/> <br\/> $\\left( -2\\dfrac{1}{4} \\right)^{3} = \\left( \\dfrac{-9}{4} \\right) ^{3} = \\dfrac{(-9)^{3}}{4^{3}} = \\dfrac{-729}{64} $ <br\/> <br\/> <span class='basic_pink'> K\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p t\u00ednh l\u00e0 $\\dfrac{-729}{64}$.<\/span><\/span> <span class='basic_left'> <i> L\u01b0u \u00fd: <\/i> $\\bullet$ L\u0169y th\u1eeba b\u1eadc ch\u1eb5n c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng. <br\/> $\\qquad \\quad \\bullet$ L\u0169y th\u1eeba b\u1eadc l\u1ebb c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 \u00e2m. <\/span> <br\/>"}]}],"id_ques":218},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["-0,125"]]],"list":[{"point":5,"width":100,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/4.jpg'\/><\/center> Gi\u00e1 tr\u1ecb c\u1ee7a l\u0169y th\u1eeba: $ (-0,5)^{3} $= _input_","explain":" V\u1eadn d\u1ee5ng \u0111\u1ecbnh ngh\u0129a c\u1ee7a l\u0169y th\u1eeba ta c\u00f3: <br\/> <br\/> $(-0,5)^{3} = -0,125 $ <br\/> <br\/> <span class='basic_pink'> K\u1ebft q\u1ee7a c\u1ee7a ph\u00e9p t\u00ednh l\u00e0 $-0,125$.<\/span><\/span> <span class='basic_left'> <i> L\u01b0u \u00fd: <\/i> $\\bullet$ L\u0169y th\u1eeba b\u1eadc ch\u1eb5n c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 d\u01b0\u01a1ng. <br\/> $\\qquad \\quad \\bullet$ L\u0169y th\u1eeba b\u1eadc l\u1ebb c\u1ee7a m\u1ed9t s\u1ed1 \u00e2m l\u00e0 m\u1ed9t s\u1ed1 \u00e2m. <\/span> <br\/>"}]}],"id_ques":219},{"time":24,"part":[{"title":"\u0110i\u1ec1n s\u1ed1 th\u00edch h\u1ee3p v\u00e0o \u00f4 tr\u1ed1ng","title_trans":"","temp":"fill_the_blank","correct":[[["1"]]],"list":[{"point":5,"width":50,"type_input":"","ques":" <center><img src='https://www.luyenthi123.com/file/luyenthi123/lop7/toan/daiso/bai5/lv1/img\/4.jpg'\/><\/center>Gi\u00e1 tr\u1ecb c\u1ee7a l\u0169y th\u1eeba: $ (9,7)^{0}$ = _input_","explain":" Ta c\u00f3: $9,7 \\neq 0 $ n\u00ean $(9,7)^{0} = 1 $ <br\/> <br\/> <span class='basic_pink'> K\u1ebft q\u1ee7a c\u1ee7a ph\u00e9p t\u00ednh l\u00e0 $1$.<\/span> <br\/> <i> L\u01b0u \u00fd: <\/i> $a^0=1$ "}]}],"id_ques":220}],"lesson":{"save":0,"level":1}}