Last visit was: 18 May 2024, 23:39 It is currently 18 May 2024, 23:39

Close

GRE Prep 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 GRE 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
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4810
Own Kudos [?]: 10633 [2]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
User avatar
Retired Moderator
Joined: 07 Jun 2014
Posts: 4810
Own Kudos [?]: 10633 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
avatar
Intern
Intern
Joined: 15 Dec 2016
Posts: 17
Own Kudos [?]: 14 [0]
Given Kudos: 0
Send PM
avatar
Intern
Intern
Joined: 24 May 2019
Posts: 28
Own Kudos [?]: 38 [2]
Given Kudos: 0
Send PM
Re: QOTD#19 Evaluate the fraction [#permalink]
2
The question is wrong
Verbal Expert
Joined: 18 Apr 2015
Posts: 28769
Own Kudos [?]: 33347 [0]
Given Kudos: 25249
Send PM
Re: QOTD#19 Evaluate the fraction [#permalink]
Expert Reply
Fixed and now is correct.

Thanks
avatar
Manager
Manager
Joined: 22 May 2019
Posts: 58
Own Kudos [?]: 51 [0]
Given Kudos: 0
Send PM
Re: QOTD#19 Evaluate the fraction [#permalink]
1
I am totally blank about the explanation. Where did you get the 5 and 2 canceled from numerator and denominator?
Verbal Expert
Joined: 18 Apr 2015
Posts: 28769
Own Kudos [?]: 33347 [0]
Given Kudos: 25249
Send PM
Re: QOTD#19 Evaluate the fraction [#permalink]
1
Expert Reply
Ok guys I will redo step by step the entire process. I am assuming you know the rules of exponents and prime factorization

\(\frac{210^2 \times 21^3 \times 49^{\frac{1}{2}}}{30^4 \times 3} = 7^x\)

Numerator

\(210^2 = (3 \times 7 \times 2 \times 5)^2 = 3^2 \times 7^2 \times 2^2 \times 5^2\)

\(21^3 = (3 \times 7)^3 = 3^3 \times 7^3\)

\(49^{\frac{1}{2}} = \sqrt{49} = 7\)

Denominator

\(30^4 \times 3= 3^4 \times 2^4 \times 5^4 \times 3\)

So

\(\frac{3^2 \times 7^2 \times 2^2 \times 5^2 \times 3^3 \times 7^3 \times 7 }{3^4 \times 2^4 \times 5^4 \times 3}\)

From this , grouping all the common terms we do have

\(\frac{3^5 \times 7^6 \times 2^2 \times 5^2}{3^5 \times 5^4 \times 2^4}\)

The terms canceled out

\(\frac{7^6}{5^2\times 2^2} = \frac{7^6}{10^2}\)

At this point the question is flawed..... there is no way to solve it.

For those who are wondering to check the book, I have already done.

Clearly, the question is badly conceived and written.

Regards
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 4503
Own Kudos [?]: 68 [0]
Given Kudos: 0
Send PM
Re: QOTD#19 Evaluate the fraction [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
[#permalink]
Moderators:
Moderator
1085 posts
GRE Instructor
218 posts

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