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(0.01)^5

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(0.01)^5 [#permalink] New post   27 Jul 2021, 05:06
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Quantity A
Quantity B
\((0.01)^5\)
\(\frac{1}{10^{10}}\)



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.

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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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C
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tejasphirke
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(0.01)^5 [#permalink] New post   Updated on: 28 Jul 2021, 18:48
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QA:
(1/10^2)^5 = 1/10^10

QB:
1/10^10

QA = QB

option (C)

Originally posted by tejasphirke on 27 Jul 2021, 05:13.
Last edited by tejasphirke on 28 Jul 2021, 18:48, edited 1 time in total.
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Re: (0.01)^5 [#permalink] New post   28 Jul 2021, 07:20
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I use the fifth root :)
QA = .01
QB= 1/(10^2) = 1/100

answer is C
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Re: (0.01)^5 [#permalink] New post   29 Jul 2021, 12:24
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(0.01)^5 = (1/100)^5
This later leads to, (1/10^2)^5. Therefore, 1^5/10^ (2*5) Rules of indices.
= 1/10^10. Hence both the answers are equal.
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Re: (0.01)^5 [#permalink]
29 Jul 2021, 12:24
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