Square of a exponent with root : GMAT Quantitative Section
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 20:14

### 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

# Square of a exponent with root

Author Message
TAGS:

### Hide Tags

Director
Joined: 07 Jun 2004
Posts: 612
Location: PA
Followers: 5

Kudos [?]: 707 [0], given: 22

Square of a exponent with root [#permalink]

### Show Tags

17 Jul 2010, 15:33
what is

square of 5^sqrt(2) ?

in English it translates to what is

square of five to the power of square root of 2
_________________

If the Q jogged your mind do Kudos me : )

Kaplan GMAT Instructor
Joined: 21 Jun 2010
Posts: 148
Location: Toronto
Followers: 44

Kudos [?]: 186 [0], given: 0

Re: Square of a exponent with root [#permalink]

### Show Tags

17 Jul 2010, 20:33
rxs0005 wrote:
what is

square of 5^sqrt(2) ?

in English it translates to what is

square of five to the power of square root of 2

Hi!

A fundamental rule of math is that, no matter how weird things look, the same basic rules always apply.

The basic exponent raised to an exponent rule is:

$$(x^a)^b = x^{a*b}$$

Applying the rule to your question:

$$(5^sqrt2)^2 = 5^{sqrt2 * 2} = 5^{2sqrt2}$$
Re: Square of a exponent with root   [#permalink] 17 Jul 2010, 20:33
Similar topics Replies Last post
Similar
Topics:
1 What is Square root of x squared 2 07 Oct 2014, 23:20
20 Exponents and Roots on the GMAT: Tips and hints 2 24 Jul 2014, 06:33
7 Strategy for Exponents and Roots 8 28 Aug 2012, 13:02
5 Which of the following is equal to 1/[(3^(1/2)-2^(1/2))^1/2] 4 04 Aug 2010, 02:56
4 GMATPrep - Square root question 7 05 Aug 2008, 20:45
Display posts from previous: Sort by