中3~Laws of Indices[要列式]

2007-10-09 4:25 am
唔該幫幫手列式唷><

1a,,,,
If one numeral in a certain number takes up 1 cm, how many km will all the numerals in the number (10^6)^10^5 take up?
If it takes 1 second to write a numeral, how many days will it take to write all the numeral in (10^6)^10^5?

答案係6km,,7days

1b,,,,
If the number in (a) is changed to (-10^6)^-10^5, will the length of the numerals in this number different from that in the number in (a)?

答案係NO

回答 (1)

2007-10-10 5:57 am
✔ 最佳答案
1a)
(10^6)^10^5
= (10^6)^100000
=100000...00000(600000個0)
600001cm= 6000m=6km
600001 seconds = 10000mins = 166hrs 大約=7 days
b)
(-10^6)^-10^5
= (100000)^(-10^5)
=(100000)^ - 100000
= 0.00000000...000001(60000個0)
同第一個一樣咁長
所以no difference

2007-10-12 16:58:09 補充:
美中不足ge係最後嗰個係600000個0
打錯左60000個0


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