GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 20:47

### 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

# 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: 173
Location: India
What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)  [#permalink]

### Show Tags

Updated on: 11 Dec 2013, 08:02
3
4
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:46) correct 15% (01:33) wrong based on 523 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. $$25\sqrt{5}$$

Attachments

ques.png [ 995 Bytes | Viewed 7142 times ]

Originally posted by greatchap on 22 Sep 2010, 08:14.
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: 98

### Show Tags

Updated on: 22 Sep 2010, 08:27
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.

Originally posted by soumanag on 22 Sep 2010, 08:20.
Last edited by soumanag on 22 Sep 2010, 08:27, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 58445

### Show Tags

22 Sep 2010, 08:25
1
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: 173
Location: India

### Show Tags

22 Sep 2010, 08:38
Thanks. I got it. It just slipped initially. I need to add the powers.
Intern
Joined: 11 Jan 2012
Posts: 8
Location: India
Concentration: Operations, Finance
GMAT Date: 08-31-2012
GPA: 3.7

### Show Tags

10 Oct 2013, 21:16
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
Manager
Joined: 21 Oct 2013
Posts: 178
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
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: 58445
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.
_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4774
Location: India
GPA: 3.5
Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)  [#permalink]

### Show Tags

27 Aug 2018, 07:17
greatchap wrote:
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. $$25\sqrt{5}$$

$$5^{\frac{1}{5}} * 5^{\frac{2}{5}} * 5^{\frac{3}{5}} * 5^{\frac{4}{5}}$$

Or, $$5^{\frac{1}{5}+\frac{2}{5}+\frac{3}{5}+\frac{4}{5}}$$

Or, $$5^{\frac{1+2+3+4}{5}}$$

Or, $$5^{\frac{10}{5}}$$

Or, $$5^2 = 25$$, Answer must be (D)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Re: What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)   [#permalink] 27 Aug 2018, 07:17
Display posts from previous: Sort by