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

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(2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 02:48
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:16) correct 14% (00:10) wrong based on 53 sessions

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Re: (2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 02:52
D. (2^3)=8, (2)^(8*8)=2^64


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(2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 02:56
Bunuel wrote:
\((2^8)^{(2^3)}=\)

A. 2^11

B. 2^16

C. 2^48

D. 2^64

E. 2^72


\((2^8)^{(2^3)}\)

\((2^3)= 8\)
\((2^8)^{(2^3)}=(2^8)^8\) =\(2^{8*8}\) =\(2^{64}\)

Hence Option D is correct.
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Re: (2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 02:59
Bunuel wrote:
\((2^8)^{(2^3)}=\)

A. 2^11

B. 2^16

C. 2^48

D. 2^64

E. 2^72


First Simplify \(2^3\)=8,

(a^b)^c =a^bc

Hence 2^(8*8)=2^64

D
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(2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 09:57
Bunuel wrote:
\((2^8)^{(2^3)}=\)

A. 2^11

B. 2^16

C. 2^48

D. 2^64

E. 2^72



\((2^8)^{(2^3)}\)

= \((2^8)^{8}\)

= \(2^{64}\)

Answer will be (D) \(2^{64}\)
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Re: (2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 10:05
( (x)^m)^n = x^(m*n)

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Re: (2^8)^(2^3)= [#permalink]

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New post 13 Feb 2017, 10:28
(2^8)^(2^3)
= \((2^{8})^{(2^{3})}\)
=\((2^{8})^{8}\)
=\(2^{8*8}\)
=\(2^{64}\)

Answer D
Re: (2^8)^(2^3)=   [#permalink] 13 Feb 2017, 10:28
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