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

It is currently 26 Aug 2019, 00:24

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

((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57284
((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)  [#permalink]

Show Tags

New post 24 Jul 2019, 02:28
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:41) correct 29% (02:00) wrong based on 78 sessions

HideShow timer Statistics

VP
VP
User avatar
P
Joined: 03 Jun 2019
Posts: 1115
Location: India
((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)  [#permalink]

Show Tags

New post 24 Jul 2019, 02:50
Bunuel wrote:
\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)


A. \(\sqrt{7}\)

B. 7

C. 7^2

D. 7^(11/2)

E. 7^11


\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{(\sqrt{7})^{2x}}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{7^x}{7^{11/2}}}{\frac{7^x}{7^{11}}}\)

\(= 7^{11/2}\)

IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Manager
Manager
avatar
B
Joined: 20 Apr 2019
Posts: 82
Re: ((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)  [#permalink]

Show Tags

New post 26 Jul 2019, 08:20
Kinshook wrote:
Bunuel wrote:
\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)


A. \(\sqrt{7}\)

B. 7

C. 7^2

D. 7^(11/2)

E. 7^11


\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{(\sqrt{7})^{2x}}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{7^x}{7^{11/2}}}{\frac{7^x}{7^{11}}}\)

\(= 7^{11/2}\)

IMO D

Could you explain the last step please?
Intern
Intern
avatar
B
Joined: 09 Nov 2018
Posts: 2
Re: ((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)  [#permalink]

Show Tags

New post 03 Aug 2019, 04:19
Kinshook wrote:
Bunuel wrote:
\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)


A. \(\sqrt{7}\)

B. 7

C. 7^2

D. 7^(11/2)

E. 7^11


\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{(\sqrt{7})^{2x}}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{7^x}{7^{11/2}}}{\frac{7^x}{7^{11}}}\)

\(= 7^{11/2}\)

IMO D


Hey Luca1111111111111

The next step would be:
\(=\frac{7^{11}}{7^{11/2}}
[m]=\frac{7^{11- 11}{2}}

And hence,
[m]= 7^{11/2}\)
Intern
Intern
avatar
B
Joined: 09 Nov 2018
Posts: 2
Re: ((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)  [#permalink]

Show Tags

New post 03 Aug 2019, 04:25
Kinshook wrote:
Bunuel wrote:
\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)


A. \(\sqrt{7}\)

B. 7

C. 7^2

D. 7^(11/2)

E. 7^11


\(\frac{\frac{((\sqrt{7})^x)^2}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{(\sqrt{7})^{2x}}{(\sqrt{7})^{11}}}{\frac{7^x}{7^{11}}}\)

\(=\frac{\frac{7^x}{7^{11/2}}}{\frac{7^x}{7^{11}}}\)

\(= 7^{11/2}\)

IMO D


Hey Luca1111111111111

The next step would be:
\(\frac{7^{11}}{7^{11/2}}\)
\(=7^{11/2}\)
GMAT Club Bot
Re: ((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)   [#permalink] 03 Aug 2019, 04:25
Display posts from previous: Sort by

((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)

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





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