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sandy
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Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
compare fractions [#permalink] New post  02 Jul 2017, 15:40
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Question Stats:

85% (00:09) correct 14% (00:10) wrong based on 21 sessions

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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
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Re: compare fractions [#permalink] New post  07 Jul 2017, 05:00
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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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sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Re: compare fractions [#permalink] New post  22 Apr 2018, 14:09
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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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mohan514
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GRE 1: Q165 V156
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.
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