0.2的0.8次方与0.7的3次方哪个大,要过程,不是用计算器算的答案,若对题目有异议,欢迎指出。

2024-12-30 19:00:42
推荐回答(2个)
回答1:

这样来做吧,
0.7^3=(0.7^4)^(0.75)
显然0.7^4=(0.49)^2 >0.2
故0.7^3 > 0.2^(0.75)


0.2^(0.75)
=5^(-0.75) > 5^(-0.8)=0.2^(0.8)
所以得到0.7^3 > 0.2^(0.75) > 0.2^(0.8),
即0.7的3次方大于0.2的0.8次方

回答2:

指数不同,底数也不同,找中间量,通常为-1,0,1.但不排除其他的,
比如判读0.7^(0.8),0.8^0.7,与1判断,结果两者都比1小,所以选另外的中间量0.7^0.7来做的。
这里我觉得可以试试两边取对数,log0.2^0.8 log0.7^3,由对数公式:0.8log0.2 3log0.7现在比较这两个数。两个数相除,由对数换底公式:得:4/15log(0.7)0.2, 0.7是底数。如果大于1,则0.7^3大,小于1就前面大。好吧,我还是得借助计算器算下是不是比1大。

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