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# (8^3*6^7)/3^7 =?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 9006
GMAT 1: 760 Q51 V42
GPA: 3.82

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Updated on: 24 Jun 2018, 06:55
1
00:00

Difficulty:

5% (low)

Question Stats:

91% (01:21) correct 9% (01:38) wrong based on 89 sessions

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$$\frac{(8^3 6^7)}{3^7}$$ = ?

(A) $$2^{14}$$

(B) $$2^{15}$$

(C) $$2^{16}$$

(D) $$2^{17}$$

(E) $$2^{18}$$

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 24 Nov 2016, 01:52. Last edited by generis on 24 Jun 2018, 06:55, edited 2 times in total. Formatted the question GMAT Club Legend Joined: 11 Sep 2015 Posts: 4877 Location: Canada GMAT 1: 770 Q49 V46 Re: (8^3*6^7)/3^7 =? [#permalink] ### Show Tags 24 Nov 2016, 11:30 1 Top Contributor MathRevolution wrote: $$(?^? ?^?)/?^?$$ =? (A) 214 (B) 215 (C) 216 (D) 217 (E) 218 Wow!!! This is the trickiest question yet! Answer: squirrel _________________ Test confidently with gmatprepnow.com Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 9006 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: (8^3*6^7)/3^7 =? [#permalink] ### Show Tags 28 Nov 2016, 00:40 $$(8^3 6^7)/3^7 =(2^9 〖(2∗3)〗^7)/3^7 =(2^9 2^7 3^7)/3^7 =2^9*2^7=2^16$$. The answer is C. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 1 month Online Course"
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28 Nov 2016, 07:09
MathRevolution wrote:
$$(8^3 6^7)/3^7$$ =?

(A) $$2^{14}$$

(B) $$2^{15}$$

(C) $$2^{16}$$

(D) $$2^{17}$$

(E) $$2^{18}$$

IMHO , The options will be as modified above...
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28 Nov 2016, 10:36

8^3 = (2^3)^3 = 2^9
6^7 = 2^7*3^7

Therefore question is 2^9*2^7*3^7/3^7 = 2^9*2^7 = 2^16.
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
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02 Dec 2016, 05:52
1
MathRevolution wrote:
$$(8^3 6^7)/3^7$$ =?

(A) 2^14

(B) 2^15

(C) 2^16

(D) 2^17

(E) 2^18

We can prime factorize 8^3, 6^7, and 3^7.

8^3 = (2^3)^3 = 2^9

6^7 = (2 x 3)^7 = 2^7 x 3^7

Putting our values back into the original expression, we have:

(2^9 x 2^7 x 3^7)/3^7 = 2^9 x 2^7 = 2^16

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Joined: 27 May 2012
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24 Jun 2018, 06:07
MathRevolution wrote:
$$(8^3 6^7)/3^7$$ =?

(A) 214

(B) 215

(C) 216

(D) 217

(E) 218

Dear Moderator ,

There is a grave formatting error in the answer choices , answer choice should have 2 raised to the power 16 rather it has 216 . Hence it is not possible to select the correct option. Hope you will correct the error .

Thank you.
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Re: (8^3*6^7)/3^7 =?   [#permalink] 24 Jun 2018, 06:07