 It is currently 31 Oct 2020, 02:58 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # 99^9/9^99 or 11^9/9^90  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Founder  Joined: 18 Apr 2015
Posts: 13720
GRE 1: Q160 V160 Followers: 305

Kudos [?]: 3553  , given: 12681

1
KUDOS
Expert's post 00:00

Question Stats: 74% (00:31) correct 25% (00:43) wrong based on 104 sessions
 Quantity A Quantity B $$\frac{{99}^{9}}{{9^{99}}}$$ $$\frac{{11}^{9}}{{9}^{90}}$$

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.

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________

- Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page
- Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020)
- Do you want all the FREE GRE tests on earth ?? Look at FREE GRE Practice Tests [Collection] - New Edition (2021)
- Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.
- Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos
- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Manager Joined: 28 Nov 2017
Posts: 56
Followers: 1

Kudos [?]: 56  , given: 33

1
KUDOS
A very Smart Question Rather :

To solve or Compare the two Quantities we will try to get the Fraction ( In particular the Denominator Same for both Qty )

For Qty A we have the Following Situation :

99^ 9 / 9 ^ 99 = ( 11 * 9 ) ^ 9 / 9 ^99 --> 9^9(11^9)/ 9 ^ 99 --> 11^9 / 9 ^ 90 [ We divided or Took 9^ 9 out as Common ] .

So Both Qty are equal GRE Instructor Joined: 10 Apr 2015
Posts: 3876
Followers: 159

Kudos [?]: 4683  , given: 70

1
KUDOS
Expert's post
Carcass wrote:
 Quantity A Quantity B $$\frac{{99}^{9}}{{9^{99}}}$$ $$\frac{{11}^{9}}{{9}^{90}}$$

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.

Kudos for R.A.E

Key Concept: $$(b^k)(c^k)=(bc)^k$$

We can also write: $$(bc)^k=(b^k)(c^k)$$

Notice that we can rewrite 99 as (9)(11)
So....

GIVEN:
QUANTITY A: $$\frac{99^9}{9^{99}}$$

QUANTITY B: $$\frac{11^9}{9^{90}}$$

Rewrite 99 as (9)(11) to get:
QUANTITY A: $$\frac{[(9)(11)]^9}{9^{99}}=\frac{(9^9)(11^9)}{9^{99}}=\frac{11^9}{9^{90}}$$

QUANTITY B: $$\frac{11^9}{9^{90}}$$

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Re: 99^9/9^99 or 11^9/9^90   [#permalink] 08 Jun 2019, 08:06
Display posts from previous: Sort by

# 99^9/9^99 or 11^9/9^90  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.