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.

Comapre two exponentials 950^2000 and 10^6000 [#permalink]
26 Jan 2016, 00:53

Expert's post

00:00

Question Stats:

67% (00:52) correct
32% (01:02) wrong based on 40 sessions

Quantity A

Quantity B

\(950^{2,000}\)

\(10^{6,000}\)

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Practice Questions Question: 3 Page: 465 Difficulty: hard

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink]
27 Jan 2016, 15:59

Expert's post

Another way to solve the question is to get rid of the exponents

\(950^2*10^3\) and \(10^6*10^3\). You can disregard \(10^3\) so we have \(10^6\) and \(950^2.\) The latter is far less inferior than the first one value \(10^6\)

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink]
27 May 2016, 18:21

sandy wrote:

Quantity A

Quantity B

\(950^{2,000}\)

\(10^6^0^0^0\)

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Practice Questions Question: 3 Page: 465 Difficulty: hard

950^2000 && 10^6000

950^(6000/3) && 10^6000

(950^(1/3))^6000 && 10^6000

As 9^3=729 < 950 < 10^3 Therefore, 950^(1/3) = 9.something

So, (9.something)^ 6000 < 10^6000 as (9.something) < 10 Ans B

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink]
01 Jun 2016, 14:45

Expert's post

sandy wrote:

Quantity A

Quantity B

\(950^{2,000}\)

\(10^6^0^0^0\)

A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

Given: Quantity A: 950^2000 Quantity B: 10^6000

Rewrite quantity B as follows: Quantity A: 950^2000 Quantity B: (10^3)^2000

Simplify quantity B as follows: Quantity A: 950^2000 Quantity B: 1000^2000

Re: Comapre two exponentials 950^2000 and 10^6000 [#permalink]
16 Mar 2018, 13:08

1

This post received KUDOS

correct: B In this kind of questions we should do some changes to make the different options look same in some way in order to simply compare them. 950 ^ 2000 = (9.5 * 10 * 10) ^ 2000 = 9.5^2000 * 10^2000 * 10^2000 < 10^2000 * 10^2000 * 10^2000 which the right side equals to (10^2000)^3 = 10^(2000*3) = 10^6000

So 950 ^2000 is less than 10^ 6000 and B is correct.

Another approach is starting with 10^ 6000 which equals (10^3)^2000. now power of 950^2000 and (10^3)^2000 are same. and we know 950 is less than 1000=10^3

greprepclubot

Re: Comapre two exponentials 950^2000 and 10^6000
[#permalink]
16 Mar 2018, 13:08