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

It is currently 20 Aug 2018, 02:12

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If a >= 0, then ((a^(1/2))^(1/3))^(1/4))^18 =

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48044
If a >= 0, then ((a^(1/2))^(1/3))^(1/4))^18 =  [#permalink]

Show Tags

New post 30 Apr 2018, 09:04
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:36) correct 15% (00:51) wrong based on 39 sessions

HideShow timer Statistics

If \(a \geq 0\), then \((\sqrt[4]{\sqrt[3]{\sqrt{a}}})^{18}=\)


A. \(a^{\frac{39}{2}}\)

B. \(a^{\frac{9}{4}}\)

C. \(a^{\frac{4}{3}}\)

D. \(a^{\frac{3}{4}}\)

E. \(a^{\frac{2}{3}}\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1900
Re: If a >= 0, then ((a^(1/2))^(1/3))^(1/4))^18 =  [#permalink]

Show Tags

New post 30 Apr 2018, 22:15

Solution



Given:
• a≥0

To find:
• The value of \((^4√^3√√a)^{18}\)

Approach and Working:
• The given expression can be simplified as follows:
    o \((^4√^3√√a)^{18}\)
    = \((((a)^\frac{1}{2})^\frac{1}{3})^\frac{1}{4})^{18}\)
    =\((((a)^\frac{1}{6})^\frac{1}{4})^{18}\)
    =\(((a)^\frac{1}{24})^{18}\)
    =\((a)^\frac{18}{24}\)
    = \(a^\frac{3}{4}\)

Hence, the correct answer is option D.

Answer: D
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: If a >= 0, then ((a^(1/2))^(1/3))^(1/4))^18 = &nbs [#permalink] 30 Apr 2018, 22:15
Display posts from previous: Sort by

If a >= 0, then ((a^(1/2))^(1/3))^(1/4))^18 =

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

Events & Promotions

PREV
NEXT


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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.