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# The ratio 2^2001*3^2003/6^2002 is:

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Math Expert
Joined: 02 Sep 2009
Posts: 60555

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18 Mar 2019, 23:54
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Difficulty:

15% (low)

Question Stats:

91% (00:57) correct 9% (01:40) wrong based on 34 sessions

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The ratio $$\frac{2^{2001}*3^{2003}}{6^{2002}}$$ is:

(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/2

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Joined: 18 Nov 2018
Posts: 27
Re: The ratio 2^2001*3^2003/6^2002 is:  [#permalink]

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19 Mar 2019, 00:04
E is the answer. Numerator equals 6^2001 x 9. Denominator equals 6^2002. The result is 9/6 = 3/2

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Re: The ratio 2^2001*3^2003/6^2002 is:  [#permalink]

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19 Mar 2019, 03:38
Bunuel wrote:
The ratio $$\frac{2^{2001}*3^{2003}}{6^{2002}}$$ is:

(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3
(E) 3/2

$$\frac{2^{2001}*3^{2003}}{6^{2002}}$$

2^2001*3^2003 / 2^2002*3^2002

3/2
IMO E
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Re: The ratio 2^2001*3^2003/6^2002 is:  [#permalink]

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19 Mar 2019, 04:51
after Reducing it becomes

(3^2)/6 =3/2
Re: The ratio 2^2001*3^2003/6^2002 is:   [#permalink] 19 Mar 2019, 04:51
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