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5^27 (575)

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21574

5^27 (575) [#permalink]

03 Jun 2017, 02:19

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00:00

Question Stats:

79% (00:34) correct

20% (00:43) wrong

based on 137 sessions

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The last collection of questions for the GRE Quant - 2019

Quantity A	Quantity B
\((5^{27})(575)\)	\((5^{28})(115)\)

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.

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GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 6038

Re: 5^27 (575) [#permalink]

20 Jun 2017, 09:05

Expert Reply

Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project

Quantity A	Quantity B
(5^27)(575)	(5^28)(115)

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.

Given:
Quantity A: (5^27)(575)
Quantity B: (5^28)(115)

Divide both quantities by 115 to get:
Quantity A: (5^27)(5)
Quantity B: (5^28)

In other words:
Quantity A: (5^27)(5^1)
Quantity B: 5^28

Apply Product Law to Quantity A:
Quantity A: 5^28
Quantity B: 5^28

Answer:

Show: ::