6的7次方和7的6六次方,哪个大要详细过程,计算器的可以直接跳过

Question

6的7次方和7的6六次方,哪个大
要详细过程,计算器的可以直接跳过

Answer 1

(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)