# 查看完整版本 : 指數大小

## 指數大小

Which of the following numbers is the greatest?
A. 1000^9000
B. 2000^8000
C. 3000^7000
D. 4000^6000

Solve the question without using calculator, thank you

hoyh 2019-12-14 01:59 PM

Consider using common logarithm .........

[quote]原帖由 [i]靈意壹零死死[/i] 於 2019-12-14 08:29 AM 發表 [url=https://www.discuss.com.hk/redirect.php?goto=findpost&pid=511711519&ptid=28754398][img]https://www.discuss.com.hk/images/common/back.gif[/img][/url]
Which of the following numbers is the greatest?
A. 1000^9000
B. 2000^8000
C. 3000^7000
D. 4000^6000

Solve the question without using calculator, thank you  [/quote]
A. 1000^9000 = 1 x 10^3^9000 = 1 x 10^27000
B. 2000^8000 = 2 x 10^3^8000 = 2 x 10^24000
C. 3000^7000 = 3 x 10^3^7000 = 3 x 10^21000
D. 4000^6000 = 4 x 10^3^6000 = 4 x 10^18000
Therefore, A is the greatest

[quote]原帖由 [i]愛純情[/i] 於 2019-12-21 10:00 PM 發表 [url=https://www.discuss.com.hk/redirect.php?goto=findpost&pid=512063371&ptid=28754398][img]https://www.discuss.com.hk/images/common/back.gif[/img][/url]

A. 1000^9000 = 1 x 10^3^9000 = 1 x 10^27000
B. 2000^8000 = 2 x 10^3^8000 = 2 x 10^24000
C. 3000^7000 = 3 x 10^3^7000 = 3 x 10^21000
D. 4000^6000 = 4 x 10^3^6000 = 4 x 10^18000
Therefore, A is the greatest ... [/quote]

hoyh 2020-2-15 04:03 PM

[quote]原帖由 [i]愛純情[/i] 於 2019-12-21 10:00 PM 發表 [url=https://www.discuss.com.hk/redirect.php?goto=findpost&pid=512063371&ptid=28754398][img]https://www.discuss.com.hk/images/common/back.gif[/img][/url]

A. 1000^9000 = 1 x 10^3^9000 = 1 x 10^27000
B. 2000^8000 = 2 x 10^3^8000 = 2 x 10^24000
C. 3000^7000 = 3 x 10^3^7000 = 3 x 10^21000
D. 4000^6000 = 4 x 10^3^6000 = 4 x 10^18000
Therefore, A is the greatest ... [/quote]
A. 1000^9000 = [color=#ff0000]([/color]1 x 10^3[color=#ff0000])[/color]^9000 = 1 x 10^27000
B. 2000^8000 = [color=#ff0000]([/color]2 x 10^3[color=#ff0000])[/color]^8000 = (2[color=#ff0000]^8000[/color]) x (10^24000)
C. 3000^7000 = [color=#ff0000]([/color]3 x 10^3[color=#ff0000])[/color]^7000 = (3[color=#ff0000]^7000[/color]) x (10^21000)
D. 4000^6000 = [color=#ff0000]([/color]4 x 10^3[color=#ff0000])[/color]^6000 = (4[color=#ff0000]^6000[/color]) x (10^18000)