Check GMAT Club Decision Tracker for the Latest School Decision Releases

It is currently 26 May 2017, 02:04


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.


Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Joined: 02 Oct 2007
Posts: 1218
Followers: 97

Kudos [?]: 946 [0], given: 334

GMAT ToolKit User
What is (1/16)^(-1/4) (m25#11) [#permalink]

Show Tags

New post 15 Feb 2012, 06:45
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.

GMAT Club Premium Membership - big benefits and savings

Expert Post
5 KUDOS received
Magoosh GMAT Instructor
User avatar
Joined: 28 Dec 2011
Posts: 4038
Followers: 1416

Kudos [?]: 6776 [5] , given: 84

Re: What is (1/16)^(-1/4) (m25#11) [#permalink]

Show Tags

New post 17 Feb 2012, 12:26
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, 12:26
    Similar topics Author Replies Last post
1 If Z is an integer, what is the value of Z ? vinnik 3 03 Jan 2013, 10:08
1 What is the units digit of the above expression? stef91 1 18 Nov 2012, 07:42
1 What is the area of rectangle ABCD? dvinoth86 1 12 Sep 2012, 23:56
What do the scores mean and what does "weight" mean himeshpath 1 03 Jul 2012, 12:45
What is my current level ? gmatcracker24 2 25 Nov 2011, 06:29
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: Bunuel

GMAT Club MBA Forum Home| About| 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®.