6的7次方和7的6六次方,哪个大
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解决时间 2021-02-19 15:24
- 提问者网友:风月客
- 2021-02-18 20:45
6的7次方和7的6六次方,哪个大
最佳答案
- 五星知识达人网友:詩光轨車
- 2021-02-18 21:29
(6^7)/(7^6)
=(6*6*6*6*6*6*6)/(7*7*7*7*7*7)
=(6/7)(6/7)(6/7)(6/7)(6/7)(6/7)*6
>(5/6)(6/7)(5/6)(6/7)(5/6)(6/7)*6
=(5/7)(5/7)(5/7)*6
>(5/7)(3/5)(5/7)*6
=(5/7)(3/7)*6
>(5/7)(3/12)*6
=15/14
>1
所以(6^7)>(7^6)
=(6*6*6*6*6*6*6)/(7*7*7*7*7*7)
=(6/7)(6/7)(6/7)(6/7)(6/7)(6/7)*6
>(5/6)(6/7)(5/6)(6/7)(5/6)(6/7)*6
=(5/7)(5/7)(5/7)*6
>(5/7)(3/5)(5/7)*6
=(5/7)(3/7)*6
>(5/7)(3/12)*6
=15/14
>1
所以(6^7)>(7^6)
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