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(4^12 - 4^11)/64^3

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Math Expert
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Joined: 02 Sep 2009
Posts: 64322
(4^12 - 4^11)/64^3  [#permalink]

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New post 02 May 2019, 00:50
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (01:04) correct 20% (01:49) wrong based on 75 sessions

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Director
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D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 950
WE: Supply Chain Management (Energy and Utilities)
Re: (4^12 - 4^11)/64^3  [#permalink]

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New post 02 May 2019, 01:13
2
Bunuel wrote:
\(\frac{4^{12} - 4^{11}}{64^3}\)


A. 4/64^3

B. 1/16^3

C. 16

D. 48

E. 64


\(\frac{4^{12} - 4^{11}}{64^3}\)
=\(\frac{4^{11}(4 - 1)}{(4^3)^3}\)
=\(\frac{4^{11}(3)}{4^9}\)
=\(3*4^{11-9}\)=\(3*4^2=48\)

Ans. (D)
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Re: (4^12 - 4^11)/64^3  [#permalink]

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New post 02 May 2019, 08:29
\(\frac{4^{12}- 4^{11}}{64^3}\)

=\(\frac{4^{11}(4-1)}{4^{3*3}}\)

Clearly it is a integer , numerator is a multiple of 3 ==> only 48 from options is a multiple of 3
GMAT Club Bot
Re: (4^12 - 4^11)/64^3   [#permalink] 02 May 2019, 08:29

(4^12 - 4^11)/64^3

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