It is currently 14 Dec 2018, 11:43

### 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

# 98^7

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5175
Followers: 77

Kudos [?]: 1035 [0], given: 4660

98^7 [#permalink]  03 Jun 2017, 01:45
Expert's post
00:00

Question Stats:

60% (00:58) correct 39% (01:08) wrong based on 46 sessions

 Quantity A Quantity B $$\frac{98^7}{7^{63}}$$ $$\frac{2^7}{7^{49}}$$

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 [?]: 330 [1] , given: 66

Re: 98^7 [#permalink]  27 Sep 2017, 05:05
1
KUDOS
Column A can be rewritten as $$\frac{7^{14}2^7}{7^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!
Director
Joined: 20 Apr 2016
Posts: 758
Followers: 6

Kudos [?]: 514 [2] , given: 94

Re: 98^7 [#permalink]  27 Sep 2017, 05:47
2
KUDOS
IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{2^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

The ans should be -

Column A & Column B is

$$\frac{{7^{14}2^7}}{{7^{63}}}=\frac{{2^7}}{{7^{49}}}$$

which comes to option C
_________________

If you found this post useful, please let me know by pressing the Kudos Button

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

Kudos [?]: 330 [1] , given: 66

Re: 98^7 [#permalink]  28 Sep 2017, 04:43
1
KUDOS
pranab01 wrote:
IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{2^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

The ans should be -

Column A & Column B is

$$\frac{{7^{14}2^7}}{{7^{63}}}=\frac{{2^7}}{{7^{49}}}$$

which comes to option C

You are right, I made a typo!
GRE Instructor
Joined: 10 Apr 2015
Posts: 1242
Followers: 46

Kudos [?]: 1129 [1] , given: 7

Re: 98^7 [#permalink]  06 Oct 2017, 15:07
1
KUDOS
Expert's post
Carcass wrote:

 Quantity A Quantity B $$\frac{98^7}{7^{63}}$$ $$\frac{2^7}{7^{49}}$$

We can solve this question using matching operations

Given:
Quantity A: (98^7)/(7^63)
Quantity B: (2^7)/(7^49)

Multiply both quantities by 7^63 to get:
Quantity A: 98^7
Quantity B: (2^7)(7^14)

Rewrite 7^14 as (7^7)(7^7) to get:
Quantity A: 98^7
Quantity B: (2^7)(7^7)(7^7)

A nice rule says (a^k)(b^k) = (ab)^k

Apply this rule to quantity B to get:
Quantity A: 98^7
Quantity B: (2 x 7 x 7)^7

Simplify to get:
Quantity A: 98^7
Quantity B: 98^7

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 77 [0], given: 99

Re: 98^7 [#permalink]  18 May 2018, 02:35
IlCreatore wrote:
Column A can be rewritten as $$\frac{7^{14}2^7}{7^{63}}=\frac{2^7}{7^{49}}$$. Thus, column A and B are equal and answer is C!

Nice .. it was hard to imagine that.. great
Re: 98^7   [#permalink] 18 May 2018, 02:35
Display posts from previous: Sort by