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

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(8^3*6^7)/3^7 =?  [#permalink]

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New post Updated on: 24 Jun 2018, 06:55
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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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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.
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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 24 Nov 2016, 11:30
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Top Contributor
MathRevolution wrote:
\((?^? ?^?)/?^?\) =?

 (A) 214

(B) 215

(C) 216

(D) 217

(E) 218


Wow!!! This is the trickiest question yet! :-D

Answer:
squirrel

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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 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
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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 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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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 28 Nov 2016, 10:36
The answer should be 2^16.

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.
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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 02 Dec 2016, 05:52
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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

Answer:C
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Re: (8^3*6^7)/3^7 =?  [#permalink]

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New post 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

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

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