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# If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the  [#permalink]

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28 Feb 2019, 00:17
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Difficulty:

25% (medium)

Question Stats:

68% (01:02) correct 32% (00:58) wrong based on 81 sessions

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If $$a = (0.404)^3$$, $$b = \sqrt[3]{0.404}$$, and $$c = 0.404$$, then which of the following is true?

A. a > b > c
B. b > a > c
C. a > c > b
D. c > a > b
E. b > c > a

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Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the  [#permalink]

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28 Feb 2019, 06:48
Bunuel wrote:
If $$a = (0.404)^3$$, $$b = \sqrt[3]{0.404}$$, and $$c = 0.404$$, then which of the following is true?

A. a > b > c
B. b > a > c
C. a > c > b
D. c > a > b
E. b > c > a

a would be smallest
seeing options only option E has a as lowest
IMO E
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Joined: 17 Aug 2018
Posts: 178
GMAT 1: 610 Q43 V31
GMAT 2: 640 Q45 V32
Re: If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the  [#permalink]

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21 Apr 2019, 09:12
It is very easy to solve this question by picking an easier number such as $$\frac{1}{1000}$$ = $$10^{-3}$$.

With such number $$a=10^{-6}$$, $$b=\frac{1}{10}$$, and $$c=\frac{1}{1000}$$.

Hence, $$b>c>a$$.

Re: If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the   [#permalink] 21 Apr 2019, 09:12
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