Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 07:06


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.

for You

we will pick new questions that match your level based on your Timer History

Your Progress

every week, we’ll send you an estimated GMAT score based on your performance


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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is (1/16)^(-1/4) (m25#11)

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Joined: 02 Oct 2007
Posts: 1218
Followers: 87

Kudos [?]: 691 [0], given: 334

GMAT ToolKit User
What is (1/16)^(-1/4) (m25#11) [#permalink] New post 15 Feb 2012, 05:45
What is (\frac{1}{16})^{-\frac{1}{4}} ?

(A) -\frac{1}{2}
(B) 2
(C) 256^2
(D) \frac{1}{2}
(E) 4

Welcome to GMAT Club! :)
Facebook TwitterGoogle+LinkedIn
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Expert Post
5 KUDOS received
Magoosh GMAT Instructor
User avatar
Joined: 28 Dec 2011
Posts: 2142
Followers: 539

Kudos [?]: 2273 [5] , given: 31

Re: What is (1/16)^(-1/4) (m25#11) [#permalink] New post 17 Feb 2012, 11:26
This post received
Expert's post
Hi, there! I'm happy to help with this. :)

What is (1/16)^(-1/4)
(A) -1/2
(B) 2
(C) 256^2
(D) 1/2
(E) 4

Well, this one combines a few good exponent rules.

First of all:

(any positive number)^(any power at all) = a positive number

so, right away, answer (A) is out.

One BIG idea --- a negative exponent means: take the reciprocal.

a^(-n) = 1/(a^n)

(1/a)^(-n) = a^n

Thus, (1/16)^(-1/4) = 16^(1/4)

Another BIG idea --- a fractional exponent means take a root.

a^(1/2) = the square root of a
a^(1/3) = the cube root of a
a^(1/4) = the fourth root of a

So, 16^(1/4) equals the fourth root of 16. What number, when raised to the fourth power, equals 16? That number is 2, because 2^4 = 2x2x2x2 = 16.

[Reveal] Spoiler:
Thus, Answer = B

Here's a challenging practice PS on laws of exponents

The question at that link should be followed by a complete video solution when you submit your answer.

Does all this make sense? Please let me know if you have any questions.

Mike :)

Mike McGarry
Magoosh Test Prep



Re: What is (1/16)^(-1/4) (m25#11)   [#permalink] 17 Feb 2012, 11:26
    Similar topics Author Replies Last post
Experts publish their posts in the topic No ! What ? mist3rh 3 24 Mar 2012, 07:50
What is the conclusion in this argument and what is the siddhans 4 13 Jun 2011, 00:26
What to do, what to do? QiuYidio 3 04 Sep 2010, 15:40
what to do....what to do pbodine 7 15 Nov 2006, 16:46
what god's_gift 0 20 Jun 2005, 21:33
Display posts from previous: Sort by

What is (1/16)^(-1/4) (m25#11)

  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: WoundedTiger, Bunuel

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.