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Which of the following values is the largest?
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Updated on: 09 Sep 2024, 23:10
Updated on: 09 Sep 2024, 23:10
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Question Stats:
20% (01:58) correct
80% (01:42) wrong based on 5 sessions
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Which of the following values is the largest?
a) \(2^{1000}\)
b) \(3^{750}\)
c) \(4^{500}\)
d) \(5^{400}\)
e) \(9.5^{300}\)
Source - gregmat
a) \(2^{1000}\)
b) \(3^{750}\)
c) \(4^{500}\)
d) \(5^{400}\)
e) \(9.5^{300}\)
Source - gregmat
Originally posted by Rishav6071 on 09 Sep 2024, 22:27.
Last edited by Carcass on 09 Sep 2024, 23:10, edited 2 times in total.
Last edited by Carcass on 09 Sep 2024, 23:10, edited 2 times in total.
Fixed
Which of the following values is the largest?
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10 Sep 2024, 00:26
10 Sep 2024, 00:26
1
Expert Reply
tricky but there is always a shortcut
Essentially
A. 2^1^10^10^10 so in the end is 2^1
B. 3^75^10 in the end 3^75
C. 4^5^10^10 in the end is 4^5
D. 5^4^10^10 in the end is 5^4
E. 9.5^3^10^10 in the end is 9.5^3
Everything boils down to 3^75 which is the largest
I hope this helps
Essentially
A. 2^1^10^10^10 so in the end is 2^1
B. 3^75^10 in the end 3^75
C. 4^5^10^10 in the end is 4^5
D. 5^4^10^10 in the end is 5^4
E. 9.5^3^10^10 in the end is 9.5^3
Everything boils down to 3^75 which is the largest
I hope this helps
Which of the following values is the largest?
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11 Sep 2024, 14:43
11 Sep 2024, 14:43
Find the square root
A 2^500
B 3^375
C 4^250
D 5^200
E 3 x 5^150
Find the 5th root
A 2^100
B 3^75
C 2^100
D 5^40
E 3^1/5 x 5^30
Find the 5th root
A 2^20
B 3^15
C 2^20
D 5^8
E 3^1/25 x 5^6
Pick out 2^20 and 3^15
16^4 and 27^5
3^15 is greater
Pick out 5^8 and 3^1/25 x 5^6
Divide by 5^6
5^2 and 3^1/25
3^0 is 1, so 3^1/25 is a bit greater than 1 so 5^8 is greater
Compare
2^20 and 5^8
32^4 and 25^4
2^20 is greater, so clearly
Answer B
Adewale Fasipe, quant instructor from Lagos Nigeria.
A 2^500
B 3^375
C 4^250
D 5^200
E 3 x 5^150
Find the 5th root
A 2^100
B 3^75
C 2^100
D 5^40
E 3^1/5 x 5^30
Find the 5th root
A 2^20
B 3^15
C 2^20
D 5^8
E 3^1/25 x 5^6
Pick out 2^20 and 3^15
16^4 and 27^5
3^15 is greater
Pick out 5^8 and 3^1/25 x 5^6
Divide by 5^6
5^2 and 3^1/25
3^0 is 1, so 3^1/25 is a bit greater than 1 so 5^8 is greater
Compare
2^20 and 5^8
32^4 and 25^4
2^20 is greater, so clearly
Answer B
Adewale Fasipe, quant instructor from Lagos Nigeria.
