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5^27 (575)

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 18319

GRE 1: Q160 V160

5^27 (575) [#permalink]

03 Jun 2017, 02:19

Expert Reply

00:00

Question Stats:

80% (00:32) correct

19% (00:45) wrong

based on 120 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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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: ::

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