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# What is the value of (a^-2)(b^-3)? (1) (a^-3)(b^-2) = 36^-1

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Retired Moderator
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What is the value of (a^-2)(b^-3)? (1) (a^-3)(b^-2) = 36^-1 [#permalink]

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08 May 2010, 09:53
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What is the value of (a^-2)(b^-3)?

(1) (a^-3)(b^-2) = 36^-1
(2) (a)(b^-1) = 6^-1

OA
[Reveal] Spoiler:
C

I can't convince myself why the OA is the answer. Please provide reasoning.
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Last edited by bakfed on 08 May 2010, 09:55, edited 1 time in total.
Retired Moderator
Status: Darden Class of 2013
Joined: 28 Jul 2009
Posts: 1838
Schools: University of Virginia
Followers: 21

Kudos [?]: 314 [0], given: 37

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08 May 2010, 09:54
sorry for the typo

*typo corrected
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Kudos [?]: 23 [1] , given: 4

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08 May 2010, 10:04
1
KUDOS
C is the only possible answer

1) 1/(a^3x b^2) =1/36 it is insufficient to compute the answer i.e. 1/(a^2 x b^3) ------>Insufficient
2) a/b = 1/6 is insufficient to determine the answer

combined 1 & 2 (1/(a^3 x b^2)) x (a/b) = 1/(a^2 x b^3) = (1/36) x (1/6)=1/216

thus C
Retired Moderator
Status: Darden Class of 2013
Joined: 28 Jul 2009
Posts: 1838
Schools: University of Virginia
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Kudos [?]: 314 [0], given: 37

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08 May 2010, 10:42
shaneforu wrote:
C is the only possible answer

1) 1/(a^3x b^2) =1/36 it is insufficient to compute the answer i.e. 1/(a^2 x b^3) ------>Insufficient
2) a/b = 1/6 is insufficient to determine the answer

combined 1 & 2 (1/(a^3 x b^2)) x (a/b) = 1/(a^2 x b^3) = (1/36) x (1/6)=1/216

thus C

ahh...i read one of the statements wrongly...argh...thanks!
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16 May 2010, 14:55
combine both the statement and you will get ans as option C
Re: DS problem   [#permalink] 16 May 2010, 14:55
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