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If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?

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Joined: 02 Sep 2009
Posts: 54440
If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?  [#permalink]

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New post 10 Apr 2019, 21:37
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A
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D
E

Difficulty:

  5% (low)

Question Stats:

87% (00:57) correct 13% (01:26) wrong based on 39 sessions

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CEO
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Joined: 18 Aug 2017
Posts: 3027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
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Re: If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?  [#permalink]

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New post 11 Apr 2019, 00:33
Bunuel wrote:
If \(\sqrt[m]{27} = 3^{3m}\) and 4m > 1, then what is the value of m ?

(A) –1
(B) –1/4
(C) 0
(D) 1/4
(E) 1


for 4m > 1
m=1
IMO E
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Joined: 11 Apr 2019
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Re: If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?  [#permalink]

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New post 20 Apr 2019, 03:07
Archit3110 wrote:
Bunuel wrote:
If \(\sqrt[m]{27} = 3^{3m}\) and 4m > 1, then what is the value of m ?

(A) –1
(B) –1/4
(C) 0
(D) 1/4
(E) 1


for 4m > 1
m=1
IMO E



How do you get to m=1 from 4m > 1 ?
CEO
CEO
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Joined: 18 Aug 2017
Posts: 3027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?  [#permalink]

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New post 20 Apr 2019, 03:13
1
vargamartin1031 wrote:
Archit3110 wrote:
Bunuel wrote:
If \(\sqrt[m]{27} = 3^{3m}\) and 4m > 1, then what is the value of m ?

(A) –1
(B) –1/4
(C) 0
(D) 1/4
(E) 1


for 4m > 1
m=1
IMO E



How do you get to m=1 from 4m > 1 ?


vargamartin1031
given 4m>1
browsing answer options we can say m has to be 1 then only 4*1>1 is valid
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Re: If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?   [#permalink] 20 Apr 2019, 03:13
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