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0.99^99 or 1

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0.99^99 or 1 [#permalink] New post 20 Jul 2020, 11:31
Expert's post
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Question Stats:

88% (00:07) correct 12% (00:01) wrong based on 25 sessions
Quantity A
Quantity B
\((0.99)^{99}\)
\(1\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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Re: 0.99^99 or 1 [#permalink] New post 21 Jul 2020, 09:48
Expert's post
Carcass wrote:
Quantity A
Quantity B
\((0.99)^{99}\)
\(1\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


Key Concept:
Image

Since \(0 < 0.99 < 1\), we can conclude that \(0 < (0.99)^{99} < 1\)

Answer: B

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Brent
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Re: 0.99^99 or 1 [#permalink] New post 25 Jul 2020, 09:14
Carcass wrote:
Quantity A
Quantity B
\((0.99)^{99}\)
\(1\)



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Kudos for the right answer and explanation


The product of two values that are less than 1 will never yield a product that is greater than 1. Therefore, Quantity B is greater.

B
Re: 0.99^99 or 1   [#permalink] 25 Jul 2020, 09:14
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