Last visit was: 27 Dec 2024, 08:46 It is currently 27 Dec 2024, 08:46
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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
Your Progress

every week, we’ll send you an estimated GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

3^(-n)*3^(-n) = 1/81, what is the value of n?

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Bunuel
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 727 [1]
Given Kudos: 225
3^(-n)*3^(-n) = 1/81, what is the value of n? [#permalink] New post   12 Nov 2017, 00:02
1
Bookmarks
00:00

Question Stats:

78% (00:29) correct 21% (01:49) wrong based on 14 sessions

Hide Show timer Statistics

\(3^{-n}*3^{-n} = \frac{1}{81}\), what is the value of n?

(A) -2

(B) 0

(C) 1

(D) 2

(E) 4

Kudos for correct solution.
ShowHide Answer
Official Answer
D
avatar
IlCreatore
Director
Director
Joined: 03 Sep 2017
Posts: 518
Own Kudos [?]: 707 [2]
Given Kudos: 0
Send PM
Re: 3^(-n)*3^(-n) = 1/81, what is the value of n? [#permalink] New post   12 Nov 2017, 23:26
2
We know that \(3^{-n}3^{-n} = 3^{-2n}\), then we can rewrite \(3^{-2n} = \frac{1}{3^{2n}}\) to facilitate the comparison with 1/81.

Now we have to check which value of n makes \(3^{2n} = 81\). Since 81 = 2^4, 2n = 4, thus n = 2.

Answer D
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5095
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: 3^(-n)*3^(-n) = 1/81, what is the value of n? [#permalink] New post   18 Jan 2022, 20:43
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: 3^(-n)*3^(-n) = 1/81, what is the value of n? [#permalink]
18 Jan 2022, 20:43
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact