d********s
发帖数: 64 | | y******6
发帖数: 61 | 2 3^100=9^50=10^50*(0.9)^50=10^50*(1.1)^(-50)
estimate: 1.1^50
(1+1/n)^n=e, this converges very rapidly and is increasing, since n is 10,
considering
these two factors, I choose 1.1^10=2.5 a little less than e which makes
sense. 1.1^50=2.5^5=10^5/4^5
therefore, the answer is 10^45*4^5=2.6e+47.
I check with the exact right answer, which is 5e+47. So all I can guarantee
is the magnitude of power....So... | s*******0
发帖数: 3461 | | s*******0
发帖数: 3461 | | A*****s
发帖数: 13748 | 5 真不明白这东西有啥意思
有这顿折腾，手边什么计算器也按完了吧，哪怕是买菜用的。。。
做trading不带计算器？
还是菲律宾当警察去吧，随身带两把“手”枪
,
guarantee
【在 y******6 的大作中提到】
: 3^100=9^50=10^50*(0.9)^50=10^50*(1.1)^(-50)
: estimate: 1.1^50
: (1+1/n)^n=e, this converges very rapidly and is increasing, since n is 10,
: considering
: these two factors, I choose 1.1^10=2.5 a little less than e which makes
: sense. 1.1^50=2.5^5=10^5/4^5
: therefore, the answer is 10^45*4^5=2.6e+47.
: I check with the exact right answer, which is 5e+47. So all I can guarantee
: is the magnitude of power....So...
| w******g
发帖数: 313 | 6 我自己是3^9～20000，然后相当于3*2^11*10^44=6*10^10^47
【在 d********s 的大作中提到】
: please advise
| p********1
发帖数: 2 | 7
同意楼上做法. 3^9=19683 非常接近20000. 类似的， 2^n的时候，
可以用2^10=1024.
【在 w******g 的大作中提到】
: 我自己是3^9～20000，然后相当于3*2^11*10^44=6*10^10^47
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