physics chemistry maths science forums
become expert I help I sign up I login
refer a friend - earn nickels!!   
 advanced
 
Home
Ask & Discuss Questions
Study Material
Experts Zone
Hang Out!

Ask & Discuss Questions with Community & Experts

 Moderation Team
   advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: find the 7th root of 7^(7^7)
Forum Index -> Algebra like the article? email it to a friend.  
Author Message
[Post New]31 Mar 2008 20:44:35 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
kishlaymishra (0)

New kid on the Block

Olaaa!! Perrrfect answer. 0  [0 rates]
kishlaymishra's Avatar
total posts: 3    
offline Offline
find the 7th root of 7^(7^7)
    
[Post New]31 Mar 2008 20:46:36 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
aditya_arora04 (1072)

Blazing goIITian

Olaaa!! Perrrfect answer. 162  [293 rates]
aditya_arora04's Avatar
total posts: 1042    
offline Offline
7^7^6  ????
My birthday is no ordinary day.

Its the day when i declared in my own voice,

I WILL NOT GO QUIETLY INTO THE NIGHT,
I WILL NOT VANISH WITHOUT A FIGHT,
I AM GOING TO LIVE ON,
I AM GOING TO SURVIVE,
I AM GOING TO GET WHATEVER I WANT.

I CELEBRATE MY BIRTHDAY, AS MY INDEPENDENCE DAY !!!!!!!!!
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 20:48:12 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
sandy1990 (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]
sandy1990's Avatar
total posts: 71    
offline Offline
scroll down
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 20:49:36 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
bhavanawannastudy (67)

Cool goIITian

Olaaa!! Perrrfect answer. 11  [17 rates]
bhavanawannastudy's Avatar
total posts: 67    
offline Offline
i agree with aditya, 7^7^6
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:21:27 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
RyuAmakusa (329)

Scorching goIITian

Olaaa!! Perrrfect answer. 57  [79 rates]
RyuAmakusa's Avatar
total posts: 231    
offline Offline
[ 7]77.77.77.77.77.77.77 = 77 is it not the ans. i did not see the ( )
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:37:29 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
sandy1990 (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]
sandy1990's Avatar
total posts: 71    
offline Offline
ans is 7^7
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:39:20 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
sandy1990 (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]
sandy1990's Avatar
total posts: 71    
offline Offline
check it with anyone
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:42:32 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
digs2digi (157)

Hot goIITian

Olaaa!! Perrrfect answer. 27  [38 rates]
digs2digi's Avatar
total posts: 123    
offline Offline
yeah,sandy is rite
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:47:06 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
feynmann (1548)

Forum Expert Blazing goIITian

Olaaa!! Perrrfect answer. 278  [357 rates]
feynmann's Avatar
total posts: 595    
offline Offline
nope !!
 
 take ( 7^7 ) = m
 
so we are to find ( 7^m) ^( 1/7 )
 
                        = 7 ^ ( 7 ^7 /7 )
 
                         = 7^ ( 7^6 )
 this reply: 10 points  (with 2 Olaaa!! Perrrfect answer.   in 2 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:47:33 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
nadeemoidu (1174)

Blazing goIITian

Olaaa!! Perrrfect answer. 198  [290 rates]
nadeemoidu's Avatar
total posts: 474    
offline Offline
7^(7^7) and (7^7)^7 are different .

(7^7)^7 = 7^49 . The seventh root of this no. is 7^7.

But the question asked is 7^(7^7)
It's 7th root is 7^[(7^7)/7] which is equal to 7^(7^6)
 this reply: 10 points  (with 2 Olaaa!! Perrrfect answer.   in 2 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:48:46 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
sandy1990 (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]
sandy1990's Avatar
total posts: 71    
offline Offline
learn prop of exponentials
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:49:16 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
digs2digi (157)

Hot goIITian

Olaaa!! Perrrfect answer. 27  [38 rates]
digs2digi's Avatar
total posts: 123    
offline Offline
yeah sry.its 7^(7^6)
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:53:27 IST
    Subject: Re:find the 7th root of 7^(7^7)
[Up]
RyuAmakusa (329)

Scorching goIITian

Olaaa!! Perrrfect answer. 57  [79 rates]
RyuAmakusa's Avatar
total posts: 231    
offline Offline
i never notised the ( )
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 21:59:21 IST
    Subject: find the 7th root of 7^(7^7)
[Up]
sandy1990 (12)

Cool goIITian

Olaaa!! Perrrfect answer. 2  [3 rates]
sandy1990's Avatar
total posts: 71    
offline Offline
no it is 7^7
since 7th root
 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]31 Mar 2008 22:08:32 IST
    Subject: Re:find the 7th root of 7^(7^7)
Accepted Answer [?]   [Up]
sboosy (2860)

Blazing goIITian

Olaaa!! Perrrfect answer. 504  [674 rates]
sboosy's Avatar
total posts: 483    
offline Offline
7^{(7^7)} = 7^k \ \mbox{where} \ k=7^7 \\ \\ \mbox{Taking seventh root we get} \ 7^{\frac{k}{7}} \\ \\ \frac{k}{7} = \frac{7^7}{7} = 7^6 \\ \\ \mbox{which gives} \ 7^{(7^6)}
 this reply: 5 points  (with 1 Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Algebra
Go to: