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2^3^2*3^2*12^(-2) =

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Bunuel
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2^3^2*3^2*12^(-2) = [#permalink] New post  22 Apr 2018, 21:58
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\(2^{3^2}*3^2*12^{(-2)} =\)

A. 2
B. 4
C. 8
D. 16
E. 32
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2^3^2*3^2*12^(-2) = [#permalink] New post  22 Apr 2018, 22:19
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Bunuel wrote:
\(2^{3^2}*3^2*12^{(-2)} =\)

A. 2
B. 4
C. 8
D. 16
E. 32


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

so now it becomes => \(\frac{(2^9 * 3^2)}{(2^4 * 3^2)}\) = 2^5 = 32 ans E
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  23 Apr 2018, 00:22
Interesting question. Higher chances to overlook simple concepts.
the question (2^3)^2*3^2*12^-2 = 2^6*3^2/(2^4*3^2) = 2^2 = 4 Option B right answer
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  23 Apr 2018, 01:36
(2^3)^2 * 3^2 * 12^(-2)

rewrite: 2^6 * 9 * 1/144

= 64 * 9 * 1/144
=576/144
=4

B
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  23 Apr 2018, 03:08
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RockPaperScissors wrote:
Interesting question. Higher chances to overlook simple concepts.
the question (2^3)^2*3^2*12^-2 = 2^6*3^2/(2^4*3^2) = 2^2 = 4 Option B right answer


pls refer below snap from gmat club math book

Hope i guess the stated exponent falls under last example in the snap
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  23 Apr 2018, 03:58
Bunuel wrote:
\(2^{3^2}*3^2*12^{(-2)} =\)

A. 2
B. 4
C. 8
D. 16
E. 32


\(2^{3^2}*3^2*12^{(-2)} =\)

\(2^9*3*3*\frac{1}{12}*\frac{1}{12}\)

Solving we get,

32 (E)
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generis
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2^3^2*3^2*12^(-2) = [#permalink] New post  23 Apr 2018, 17:57
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Bunuel wrote:
\(2^{3^2}*3^2*12^{(-2)} =\)

A. 2
B. 4
C. 8
D. 16
E. 32

\(2^{3^2}*3^2*12^{(-2)} =\)

\(\frac{2^9*3^2}{12^2}=\frac{2^9*3^2}{4^2*3^2}=\frac{2^9*3^2}{(2^2)^2*3^2}=\)

\(\frac{2^9*3^2}{2^4*3^2}=2^{(9-4)}=2^5=32\)

Answer E
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  09 May 2018, 06:26
(2)^9*(3)^2/(12*12)

=32

Posted from my mobile device
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Re: 2^3^2*3^2*12^(-2) = [#permalink] New post  07 Jun 2018, 12:26
Bunuel wrote:
\(2^{3^2}*3^2*12^{(-2)} =\)

A. 2
B. 4
C. 8
D. 16
E. 32


\(2^{3^2}*3^2*12^{(-2)}\) = \(2^{9}*3^2/12^{2}\) = \(2^{9}*3^2/{(3*2^2)}^{2}\) = \(2^{9}*3^2/{(3^2*2^4)}\) = \(2^5\) = 32.


Thanks,
GyM
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