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gmatcafe
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If a = 125^6*15^4*2048^2, how many digits does a have? Updated on: 10 Nov 2020, 15:27
Originally posted by gmatcafe on 09 Nov 2020, 21:56.
Last edited by Bunuel on 10 Nov 2020, 15:27, edited 2 times in total.
Renamed the topic and edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

67% (01:47) correct 33% (02:10) wrong based on 375 sessions

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If \(a=125^6*15^4*2048^2\), how many digits does a have?

A) 22
B) 23
C) 24
D) 25
E) 26
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C
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If a = 125^6*15^4*2048^2, how many digits does a have? 09 Nov 2020, 22:05
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gmatcafe
If a=\(125^6*15^4*2048^2\), how many digits does a have?
A) 24
B) 26
C) 22
D) 23
E) 25
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Let us get all terms in standard form.

a=\(125^6*15^4*2048^2=(5^3)^6*(3*5)^4*(2^{11})^2=5^{(18+4)}*3^4*2^{22}=(2*5)^{22}*3^4=10^{22}*81\)
So 22 Zeroes and 81 as first 2 digits
Total = 24
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If a = 125^6*15^4*2048^2, how many digits does a have? 10 Nov 2020, 09:46
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Where does the 3^6 come from? Is it not 3^4.
Making the total digits 24?
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If a = 125^6*15^4*2048^2, how many digits does a have? 10 Nov 2020, 15:23
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Yiannisa
Where does the 3^6 come from? Is it not 3^4.
Making the total digits 24?
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Exactly!

I think it is C
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If a = 125^6*15^4*2048^2, how many digits does a have? 11 Nov 2020, 03:36
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Yiannisa
Where does the 3^6 come from? Is it not 3^4.
Making the total digits 24?
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Where is 3^6? Yiannisa

Posted from my mobile device
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If a = 125^6*15^4*2048^2, how many digits does a have? 19 Oct 2023, 07:11
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gmatcafe
If \(a=125^6*15^4*2048^2\), how many digits does a have?

A) 22
B) 23
C) 24
D) 25
E) 26
Show more

took me 0.47secs

100^6 * 10^4 * 1000^2
10^12 * 10^4 * 10^8
12+4+8=24
IMO C
note: this method might not work for every question. it depends on the digits
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If a = 125^6*15^4*2048^2, how many digits does a have? 24 Oct 2025, 00:31
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