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

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Math Expert
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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10 Apr 2019, 21:37
00:00

Difficulty:

5% (low)

Question Stats:

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

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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

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

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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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Intern
Joined: 11 Apr 2019
Posts: 12
Re: If 27^(1/m) = 3^(3m) and 4m > 1, then what is the value of m ?  [#permalink]

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

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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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