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(8^2)(3^3)(2^4)/96^2=

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Bunuel
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(8^2)(3^3)(2^4)/96^2= [#permalink] New post   14 Mar 2014, 03:17
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\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18
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A
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Bunuel
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   16 Mar 2014, 05:50
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SOLUTION

\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

\(\frac{(8^2)(3^3)(2^4)}{96^2}=\frac{(8^2)(3^3)(2^4)}{(8*3*2^2)^2}=3\).

Answer: A.
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   21 Mar 2014, 00:15
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Answer = 3 =A

\(\frac{2^{10} . 3^3}{(2^5. 3)^2}\)

\(\frac{2^{10} . 3^3}{2^{10}. 3^2}\)

= 3
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   04 Jul 2018, 08:53
Bunuel wrote:
\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18


\(\frac{(8^2)(3^3)(2^4)}{96^2}\)

Or, \(\frac{2^6*3^3*2^4}{2^{10}3^2}\)

Or, 3, Answer must be (A)
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   29 Jul 2019, 16:21
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Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

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Since 8 x 3 x 2^2 = 96, then we see that 8^2 x 3^2 x 2^4 = 96^2, so we have:

[(8^2 x 3^2 x 4^2) x 3] / 96^2 = (96^2 x 3) / 96^2 = 3

Answer: A
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   16 Sep 2019, 08:57
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


\(\frac{(8^2)(3^3)(2^4)}{96^2}= \frac{2^6*3^3*2^4}{(2^5 *3)^2} = 3\)

IMO A
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   17 Nov 2021, 08:32
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

\(\frac{(8^2)(3^3)(2^4)}{96^2}=\)

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

\(\frac{(8^2)(3^3)(2^4)}{96^2}\)

= \(\frac{(2^6)(3^3)(2^4)}{2^{10}*3^2}\)

= \(\frac{(2^{10})(3^3)}{2^{10}*3^2}\)

= \(3\), answer must be (A)
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink] New post   07 Mar 2024, 00:15
Factorizing is a very often used tool in gmat quant. The same set of steps is followed for various questions like remainders , divisibilty, number of zeroes etc. Most things cancel leaving just the 3
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Re: (8^2)(3^3)(2^4)/96^2= [#permalink]
07 Mar 2024, 00:15
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