NEW HERE? LEARN MORE
closeclose
Last visit was: 27 Apr 2024, 17:07 It is currently 27 Apr 2024, 17:07
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

compare the size of different order roots.

SORT BY:
Date
Kudos
User avatar
B
arbre
Intern
Intern
Joined: 19 Aug 2021
Posts: 44
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
compare the size of different order roots. [#permalink] New post   31 May 2022, 01:43
What is the reason behinds We can also compare the size of different order roots.
.eg,0<b<1 ,m<n, the Mth root of b is smaller then the Nth root of b
User avatar
D
avigutman
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 2290 [0]
Given Kudos: 66
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Send PM
Re: compare the size of different order roots. [#permalink] New post   31 May 2022, 05:55
Expert Reply
arbre wrote:
What is the reason behinds We can also compare the size of different order roots.
.eg,0<b<1 ,m<n, the Mth root of b is smaller then the Nth root of b


Exponents and roots describe a repetitive multiplicative relationship of a base number with itself.
For example, 3^4 = 3*3*3*3, and (1/4)^5 = (1/4)*(1/4)*(1/4)*(1/4)*(1/4)
Now, with a positive base repetitively multiplied times itself, you're going to go farther and farther away from zero if that base is greater than 1 (because you keep multiplying by a factor that is greater than 1), and you're going closer and closer to zero if that base is between 0 and 1 (because you keep multiplying by a fraction).
Roots are the reverse operation of exponents, so their effect on the number line (going farther from or closer to zero) is the exact opposite of the exponents' effect.
Does that answer your question, arbre?
User avatar
B
arbre
Intern
Intern
Joined: 19 Aug 2021
Posts: 44
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
Re: compare the size of different order roots. [#permalink] New post   04 Jun 2022, 21:48
Roots are the reverse operation of exponents, so their effect on the number line (going farther from or closer to zero) is the exact opposite of the exponents' effect.
Does that answer your question, arbre?[/quote]


i dont quite understand why ? would you mind tell me a bit more? thanks!
User avatar
D
avigutman
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 2290 [0]
Given Kudos: 66
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Send PM
Re: compare the size of different order roots. [#permalink] New post   05 Jun 2022, 05:13
Expert Reply
arbre what exactly is your question? Why roots are the reverse operation of exponents?

Posted from my mobile device
User avatar
B
arbre
Intern
Intern
Joined: 19 Aug 2021
Posts: 44
Own Kudos [?]: 0 [0]
Given Kudos: 3
Send PM
compare the size of different order roots. [#permalink] New post   05 Jun 2022, 23:05
avigutman wrote:
arbre wrote:
What is the reason behinds We can also compare the size of different order roots.
.eg,0<b<1 ,m<n, the Mth root of b is smaller then the Nth root of b


Exponents and roots describe a repetitive multiplicative relationship of a base number with itself.
For example, 3^4 = 3*3*3*3, and (1/4)^5 = (1/4)*(1/4)*(1/4)*(1/4)*(1/4)
Now, with a positive base repetitively multiplied times itself, you're going to go farther and farther away from zero if that base is greater than 1 (because you keep multiplying by a factor that is greater than 1), and you're going closer and closer to zero if that base is between 0 and 1 (because you keep multiplying by a fraction).
[color=#ffff00][color=#ff0000]Roots are the reverse operation of exponents[/color][color=#ff0000][/color][/color], so their effect on the number line (going farther from or closer to zero) is the exact opposite of the exponents' effect.
Does that answer your question, arbre?


hi, i am refer to this part (please see in the bold and underlined part)
User avatar
D
avigutman
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 2290 [0]
Given Kudos: 66
Location: Canada
Schools: NYU Stern (WA)
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
Send PM
Re: compare the size of different order roots. [#permalink] New post   06 Jun 2022, 15:39
Expert Reply
arbre wrote:
avigutman wrote:
Roots are the reverse operation of exponents

I dont quite understand why ? would you mind tell me a bit more? thanks!

arbre In the same way that division is the reverse operation of multiplication, and addition is the reverse operation of subtraction.
So, for example, if it's true that 3^3 = 27 (in other words, 3*3*3 = 27), then it's true that the cube root of 27 is 3.
GMAT Club Bot
gmatclubot
Re: compare the size of different order roots. [#permalink]
06 Jun 2022, 15:39

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions