Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 08:03

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)

Author Message
TAGS:

### Hide Tags

Manager
Joined: 14 May 2007
Posts: 182
Location: India
Followers: 2

Kudos [?]: 73 [2] , given: 11

What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5) [#permalink]

### Show Tags

22 Sep 2010, 08:14
2
KUDOS
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

87% (01:26) correct 13% (01:01) wrong based on 381 sessions

### HideShow timer Statistics

What is the value of $$5^{\frac{1}{5}} * 5^{\frac{2}{5}} * 5^{\frac{3}{5}} * 5^{\frac{4}{5}}$$ ?

A. $$\sqrt{5}$$
B. 5
C. $$5\sqrt{5}$$
D. 25
E. $$25\sqrt{5}$$
[Reveal] Spoiler: OA

Attachments

ques.png [ 995 Bytes | Viewed 4852 times ]

Last edited by Bunuel on 11 Dec 2013, 08:02, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 09 Jun 2010
Posts: 115
Followers: 3

Kudos [?]: 131 [0], given: 1

### Show Tags

22 Sep 2010, 08:20
Apply this formula: $$X^a * X^b = X^(a+b)$$

here: expression comes to 5^1/5 + 2/5 + 3/5 + 4/5 = 5 ^ 10/5 = $$5^2$$ = 25.

Last edited by soumanag on 22 Sep 2010, 08:27, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 38855
Followers: 7723

Kudos [?]: 105990 [0], given: 11602

### Show Tags

22 Sep 2010, 08:25
greatchap wrote:
Hi Guys,

Came across a basic arithmetic ques. How can I solve it ?

Q-1) What is the value of $$5^1/5 * 5^2/5 * 5^3/5 * 5^4/5$$ ? (Here again)

I don't think the ans is 25 as I saw somewhere. ?

Thanks,

GR

Operations involving the same bases:

Keep the base, add or subtract the exponent (add for multiplication, subtract for division)
$$a^n*a^m=a^{n+m}$$

$$\frac{a^n}{a^m}=a^{n-m}$$

So, $$5^{\frac{1}{5}}*5^{\frac{2}{5}}*5^{\frac{3}{5}}*5^{\frac{4}{5}}=5^{\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}}=5^{\frac{10}{5}}=5^2=25$$.

Hope it helps.
_________________
Manager
Joined: 14 May 2007
Posts: 182
Location: India
Followers: 2

Kudos [?]: 73 [0], given: 11

### Show Tags

22 Sep 2010, 08:38
Thanks. I got it. It just slipped initially. I need to add the powers.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15420
Followers: 649

Kudos [?]: 206 [0], given: 0

### Show Tags

10 Oct 2013, 11:11
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Intern
Joined: 11 Jan 2012
Posts: 9
Location: India
Concentration: Operations, Finance
GMAT Date: 08-31-2012
GPA: 3.7
Followers: 0

Kudos [?]: 11 [1] , given: 11

### Show Tags

10 Oct 2013, 21:16
1
KUDOS
When the base is the same, just add the powers

SO, in this case, 5^ (1/5+2/5+3/5+4/5) = 5^2 = 25
Current Student
Joined: 21 Oct 2013
Posts: 193
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Followers: 1

Kudos [?]: 40 [0], given: 19

Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5) [#permalink]

### Show Tags

11 Dec 2013, 06:49
Can someone add answer choices so we can use the timer? would be great!
Math Expert
Joined: 02 Sep 2009
Posts: 38855
Followers: 7723

Kudos [?]: 105990 [0], given: 11602

Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5) [#permalink]

### Show Tags

11 Dec 2013, 08:02
unceldolan wrote:
Can someone add answer choices so we can use the timer? would be great!

Done. Thank you for the suggestion.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15420
Followers: 649

Kudos [?]: 206 [0], given: 0

Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5) [#permalink]

### Show Tags

26 Jun 2016, 03:50
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)   [#permalink] 26 Jun 2016, 03:50
Similar topics Replies Last post
Similar
Topics:
8 What is the value of ... 4 18 Nov 2016, 20:18
1 What is the value of 1 10 Jun 2016, 15:27
What is the value of x in the octagon? 3 31 May 2012, 04:58
28 In the diagram, what is the value of x? 13 20 Feb 2017, 06:51
10 In the diagram, what is the value of x? 15 14 Nov 2013, 08:17
Display posts from previous: Sort by