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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-

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Math Expert V
Joined: 02 Sep 2009
Posts: 58427
What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 82% (02:04) correct 18% (02:26) wrong based on 99 sessions

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What is the ratio of $$\frac{2^{(-16)} + 2^{(-17)} + 2^{(-18)} + 2^{(-19)}}{\frac{5}{4}}$$ to $$2^{(-17)}$$?

(A) 3 to 2
(B) 5 to 2
(C) 3 to 1
(D) 4 to 1
(E) 5 to 1

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Math Expert V
Joined: 02 Sep 2009
Posts: 58427
Re: What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-  [#permalink]

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Bunuel wrote:
What is the ratio of $$\frac{2^{(-16)} + 2^{(-17)} + 2^{(-18)} + 2^{(-19)}}{\frac{5}{4}}$$ to $$2^{(-17)}$$?

(A) 3 to 2
(B) 5 to 2
(C) 3 to 1
(D) 4 to 1
(E) 5 to 1

Similar question to practice: https://gmatclub.com/forum/the-value-of ... 30682.html
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Intern  B
Joined: 26 Jul 2016
Posts: 41
Location: India
Re: What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-  [#permalink]

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((2^(-19)(2^3+2^2+2+1))/5/4)/ 2^(-17)
=2^(-17)(15)/5/ 2^(-17)
=3/1
Intern  B
Joined: 10 Jul 2017
Posts: 17
Re: What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-  [#permalink]

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1
Bunuel wrote:
What is the ratio of $$\frac{2^{(-16)} + 2^{(-17)} + 2^{(-18)} + 2^{(-19)}}{\frac{5}{4}}$$ to $$2^{(-17)}$$?

(A) 3 to 2
(B) 5 to 2
(C) 3 to 1
(D) 4 to 1
(E) 5 to 1

Here, this is how I did it.

Ans is 3 to 1 (C)
Attachments Exponent_gmatclub.jpg [ 2.94 MiB | Viewed 600 times ]

File comment: This is how I did it, hopefully it works :) Exponent_gmatclub.jpg [ 2.94 MiB | Viewed 601 times ] Re: What is the ratio of 2^(-16) + 2^(-17) + 2^(-18) + 2^(-19)/5/4 to 2^(-   [#permalink] 29 Sep 2018, 08:54
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