It is currently 22 Feb 2019, 07:04

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# 6^85^34^2/3^68^2

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5598
Followers: 89

Kudos [?]: 1118 [0], given: 5180

6^85^34^2/3^68^2 [#permalink]  06 Aug 2017, 12:42
Expert's post
00:00

Question Stats:

75% (01:20) correct 25% (00:52) wrong based on 32 sessions

 Quantity A Quantity B $$\frac{6^85^34^2}{3^68^2}$$ $$\frac{6^95^34^3}{3^82^8}$$

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.
[Reveal] Spoiler: OA

_________________
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 343 [1] , given: 66

Re: 6^85^34^2/3^68^2 [#permalink]  21 Sep 2017, 09:01
1
KUDOS
If we compare the two quantities we see we can simplify them until we get 1/64 and 1/96 so that A is larger!
Manager
Joined: 22 Feb 2018
Posts: 156
Followers: 2

Kudos [?]: 94 [1] , given: 21

Re: 6^85^34^2/3^68^2 [#permalink]  02 Apr 2018, 12:21
1
KUDOS
We just compare the two values and try to simplify them.
A ------------------------------------------------B
6^8 * 5^3 * 4^2 / 3^6 * 8^2 ------------------ 6^9 * 5^3 * 4^3 / 3^8 * 2^8
Multiply them by the minimum power of each element in the two values. 3^6 /6^8 * 5^3 * 4^2
The result will be a simple form
1/ 8^2 -------------------------------------------6 * 4 /3^2 * 2^8

We convert 8^2 and 2^ 8 to one single form. 8^2 = (2^3)^2 = 2^2*3 = 2^ 6
1/ 2^6--------------------------------------------6* 4 / 2^ 8 *3^2
Multiply both is 2^6:
1-------------------------------------------------6 * 4 / 2^2 * 3^2 = 2/3
So B is bigger than A.
[/b]
_________________

Intern
Joined: 20 Mar 2018
Posts: 34
GRE 1: Q164 V150
Followers: 1

Kudos [?]: 24 [1] , given: 2

Re: 6^85^34^2/3^68^2 [#permalink]  04 Apr 2018, 07:25
1
KUDOS
Instead of simplifying the whole terms, we can remove the terms which are common in both of the quantities and then compare the remaining parts
Re: 6^85^34^2/3^68^2   [#permalink] 04 Apr 2018, 07:25
Display posts from previous: Sort by