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compare fractions

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1659 [0], given: 396

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compare fractions [#permalink] New post 02 Jul 2017, 15:40
Expert's post
00:00

Question Stats:

76% (00:08) correct 23% (00:10) wrong based on 13 sessions
Quantity A
Quantity B
\(\frac{(5^{15})}{(5^5)}\)
\(\frac{(5^{18})}{(5^6)}\)


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

Drill 1
Question: 5
Page: 352-353
[Reveal] Spoiler: OA

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Joined: 10 Apr 2015
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Re: compare fractions [#permalink] New post 07 Jul 2017, 05:00
Expert's post
sandy wrote:
Quantity A
Quantity B
\(\frac{(5^{15})}{(5^5)}\)
\(\frac{(5^{18})}{(5^6)}\)


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

Drill 1
Question: 5
Page: 352-353


Apply the Quotient rule to both quantities to get:
QUANTITY A: 5^10
QUANTITY B: 5^12

Answer: B

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: compare fractions [#permalink] New post 22 Apr 2018, 14:09
Expert's post
Explanation

Simplify each of the expressions by subtracting the exponents. You get \(5^10\) in Quantity A and \(5^12\) in Quantity B.
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Sandy
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Re: compare fractions [#permalink] New post 23 Apr 2018, 03:59
a^m/a^n = a^m-n is the formula we can use. Simplification would also give the same value.
Re: compare fractions   [#permalink] 23 Apr 2018, 03:59
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