Last visit was: 26 Dec 2024, 18:52 It is currently 26 Dec 2024, 18:52
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

(-21)^12 or (-31)^13

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30513
Own Kudos [?]: 36867 [0]
Given Kudos: 26109
Send PM
(-21)^12 or (-31)^13 [#permalink] New post   13 May 2022, 06:25
Expert Reply
00:00

Question Stats:

100% (00:12) correct 0% (00:00) wrong based on 9 sessions

Hide Show timer Statistics

Quantity A
Quantity B
\( (-21)^{12}\)
\( (-31)^{13}\)



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

ShowHide Answer
Official Answer
A
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12238 [1]
Given Kudos: 136
Send PM

Top Member of the Month
Re: (-21)^12 or (-31)^13 [#permalink] New post   14 May 2022, 06:46
1
Carcass wrote:
Quantity A
Quantity B
\( (-21)^{12}\)
\( (-31)^{13}\)




Key Properties:
ODD exponents preserve the sign of the base.
So, (NEGATIVE)^(ODD integer) = NEGATIVE
and (POSITIVE)^(ODD integer) = POSITIVE

An EVEN exponent always yields a positive result (unless the base = 0)
So, (NEGATIVE)^(EVEN integer) = POSITIVE
and (POSITIVE)^(EVEN integer) = POSITIVE

So, we have:
QUANTITY A: (-21)^{12} =[/m] some POSITIVE number (since the exponent is EVEN)
QUANTITY B: \( (-31)^{13} = \) some NEGATIVE number (since the odd exponent preserves the sign of the base)

Answer: A
Prep Club for GRE Bot
gmatclubot
Re: (-21)^12 or (-31)^13 [#permalink]
14 May 2022, 06:46
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