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# value of mn

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Manager
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
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value of mn [#permalink]  29 Dec 2011, 07:45
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(N/A)

Question Stats:

50% (01:21) correct 50% (04:01) wrong based on 8 sessions
If m and n are negative integers, what is the value of mn?
(1) m^n = 1/81
(2) n^m = - 1/64
Manager
Status: Meh, I can't take the GMAT before 2017.
Joined: 20 Aug 2011
Posts: 145
Followers: 3

Kudos [?]: 81 [0], given: 0

Re: value of mn [#permalink]  29 Dec 2011, 09:18
C

1.
m=-3,n=-4; m=-9, n=-2
mn=12; mn=18
2.
n=-64,m=-1; n=-4, m=-3 [m will always be odd]
nm=64; mn=12

1+2
nm=12
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Manager
Joined: 24 Nov 2010
Posts: 209
Location: United States (CA)
Concentration: Technology, Entrepreneurship
Schools: Ross '15, Duke '15
Followers: 2

Kudos [?]: 58 [0], given: 7

Re: value of mn [#permalink]  29 Dec 2011, 18:49
no doubt. just double checking as the OA was B.
Intern
Joined: 26 Dec 2011
Posts: 6
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Kudos [?]: 4 [0], given: 0

Re: value of mn [#permalink]  29 Dec 2011, 23:48

consider the first statement

u have m^n=1/81 cz both m and n are negative i.e. it should be (-ve)^(-ve) or in this case (-9)^(-2) or (-3) ^(-4) both of which satisfy the statement
thus Insufficient

consider the 2nd statement

we have n^m= -(1/64)

so the options can be (-8)^(-2) or (-4)^(-3)

cz minus sign is already there that means the exponent has to be odd (that is the only way we would get a negative sign out of the base.
thus we have only one solution (-4)^(-3) which give n=-4 and m=-3 or mn=12 hence
Sufficient
Manager
Joined: 02 Mar 2011
Posts: 83
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Kudos [?]: 13 [0], given: 42

Re: value of mn [#permalink]  30 Dec 2011, 00:34
puneetkr wrote:
consider the 2nd statement

we have n^m= -(1/64)

so the options can be (-8)^(-2) or (-4)^(-3)

there can one more solution: (-64)^(-1)
it should be C) imo
Director
Joined: 28 Jul 2011
Posts: 563
Location: United States
GPA: 3.86
WE: Accounting (Commercial Banking)
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Kudos [?]: 130 [0], given: 16

Re: value of mn [#permalink]  30 Dec 2011, 06:09
d3thknell wrote:
puneetkr wrote:
consider the 2nd statement

we have n^m= -(1/64)

so the options can be (-8)^(-2) or (-4)^(-3)

there can one more solution: (-64)^(-1)
it should be C) imo

Yes It should be C...
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Re: value of mn   [#permalink] 30 Dec 2011, 06:09
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