Chú ý: Để đảm bảo quyền lợi và bảo vệ tài khoản của mình
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HomeLớp 7Toán lớp 7 - Sách kết nối tri thứcBài 3: Lũy thừa với số mũ tự nhiên của một số hữu tỉBài tập nâng cao
{"common":{"save":0,"post_id":"5653","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6866","post_id":"5653","mon_id":"1158532","chapter_id":"1158544","question":"<p>So sánh<\/p><p><span class=\"math-tex\">$33^{44}$<\/span> và <span class=\"math-tex\">$44^{33}$<\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$33^{44}$<\/span> > <span class=\"math-tex\">$44^{33}$<\/span>","<strong>B. <\/strong><span class=\"math-tex\">$33^{44}$<\/span> < <span class=\"math-tex\">$44^{33}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$33^{44}$<\/span> = <span class=\"math-tex\">$44^{33}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ta có:<\/p><p><span class=\"math-tex\">$33^{44}=(3.11)^{44}=3^{44}.11^{44}=3^{4.11}.11^{44}=(3^4)^{11}.11^{44}=81^{11}.11^{44}$<\/span><\/p><p><span class=\"math-tex\">$44^{33}=(4.11)^{33 }=4^{33}.11^{33 }=4^{3.11}.11^{33 }=(4^3)^{11}.11^{33 }=64^{11}.11^{33 }$<\/span><\/p><p>Vì <span class=\"math-tex\">$81^{11} > 64^{11}$<\/span> và <span class=\"math-tex\">$11^{44} > 11^{33 }$<\/span> nên <span class=\"math-tex\">$81^{11}.11^{44 }>64^{11}.11^{33 }$<\/span><\/p><p>Hay <span class=\"math-tex\">$33^{44}$<\/span> > <span class=\"math-tex\">$44^{33}$<\/span><\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"> <strong>A.<\/strong> <span class=\"math-tex\">$33^{44}$<\/span> > <span class=\"math-tex\">$44^{33}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2022-04-03 04:16:36","option_type":"math","len":0},{"id":"6879","post_id":"5653","mon_id":"1158532","chapter_id":"1158544","question":"<p>Tìm x bi\u1ebft:<\/p><p><span class=\"math-tex\">$(x^2)^3=x^2.x^3$<\/span><\/p>","options":["<strong>A.<\/strong> x = 1","<strong>B.<\/strong> x = 0","<strong>C.<\/strong> x = -1","<strong>D.<\/strong> x = 2"],"correct":"[\"1\",\"2\"]","level":"3","hint":"<p><span class=\"math-tex\">$(x^m)^n=x^{m.n}$<\/span><\/p><p><span class=\"math-tex\">$x^m.x^n=x^{m+n}$<\/span><\/p>","answer":"<p>Ta có<\/p><p> <span class=\"math-tex\">$(x^2)^3=x^2.x^3$<\/span><\/p><p> <span class=\"math-tex\">$x^{2.3}=x^{2+3}$<\/span><\/p><p> <span class=\"math-tex\">$x^6=x^5$<\/span><\/p><p> <span class=\"math-tex\">$x^6-x^5=0$<\/span><\/p><p> <span class=\"math-tex\">$x^5(x-1)=0$<\/span><\/p><p>=> <span class=\"math-tex\">$x^5=0$<\/span> ho\u1eb7c x - 1 = 0<\/p><p>Suy ra x = 0 ho\u1eb7c x = 1 .<\/p><p>Các \u0111áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A.<\/strong> x = 1 <\/span>và<span style=\"color:#16a085;\"> <strong>B<\/strong>. x = 0<\/span><\/p>","type":"checkbox","extra_type":"classic-checkbox","time":"0","user_id":"131","test":"3","date":"2022-04-03 09:38:58","option_type":"txt","len":0},{"id":"6883","post_id":"5653","mon_id":"1158532","chapter_id":"1158544","question":"<p>B\u1ea3ng d\u01b0\u1edbi \u0111ây cho bi\u1ebft s\u1ed1 l\u01b0\u1ee3ng du khách qu\u1ed1c t\u1ebf \u0111\u1ebfn th\u0103m Vi\u1ec7t Nam trong n\u0103m 2019.<\/p><table border=\"1\" cellpadding=\"1\" cellspacing=\"1\" style=\"height: 120px; width: 350px;\"><tbody> <tr> <td>Qu\u1ed1c gia<\/td> <td>S\u1ed1 l\u01b0\u1ee3t khách \u0111\u1ebfn th\u0103m<\/td> <\/tr> <tr> <td>Hàn Qu\u1ed1c<\/td> <td><span class=\"math-tex\">$4,3.10^6$<\/span><\/td> <\/tr> <tr> <td>Hoa Kì<\/td> <td><span class=\"math-tex\">$7,4.10^5$<\/span><\/td> <\/tr> <tr> <td>Pháp<\/td> <td><span class=\"math-tex\">$2,9.10^5$<\/span><\/td> <\/tr> <tr> <td>Ý<\/td> <td><span class=\"math-tex\">$7.10^4$<\/span><\/td> <\/tr><\/tbody><\/table><p>(Theo Vi\u1ec7n Nghiên c\u1ee9u phát tri\u1ec3n du l\u1ecbch)<\/p><p>Qu\u1ed1c gia nào có s\u1ed1 l\u01b0\u1ee3t khách \u0111\u1ebfn th\u0103m Vi\u1ec7t Nam là l\u1edbn nh\u1ea5t?<\/p>","options":["<strong>A.<\/strong> Hàn Qu\u1ed1c","<strong>B. <\/strong>Ý","<strong>C.<\/strong> Pháp","<strong>D.<\/strong> Hoa Kì"],"correct":"1","level":"3","hint":"","answer":"<p>Ta có: <span class=\"math-tex\">$4,3.10^6=4,3.10^2.10^4=4,3.100.10^4=430.10^4$<\/span><\/p><p><span class=\"math-tex\">$7,4.10^5=7,4.10.10^4= 74.10^4$<\/span><\/p><p><span class=\"math-tex\">$2,9.10^5=2,9.10.10^4=29.10^4$<\/span><\/p><p>Vì 430 > 74 > 29 > 7 nên <span class=\"math-tex\">$430.10^4>74.10^4>29.10^4>7.10^4$<\/span><\/p><p>Suy ra <span class=\"math-tex\">$4,3.10^6>7,4.10^5>2,9.10^5>7.10^4$<\/span> . Do \u0111ó qu\u1ed1c gia có s\u1ed1 l\u01b0\u1ee3t du khách \u0111\u1ebfn th\u0103m Vi\u1ec7t Nam l\u1edbn nh\u1ea5t là Hàn Qu\u1ed1c.<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>A. <\/strong>Hàn Qu\u1ed1c<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2022-04-03 09:52:09","option_type":"txt","len":2}]}