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# If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=

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Intern
Joined: 17 Nov 2013
Posts: 43
If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=  [#permalink]

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Updated on: 17 Jan 2016, 10:25
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Difficulty:

5% (low)

Question Stats:

98% (00:55) correct 2% (00:35) wrong based on 70 sessions

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If n is an integer and $$(−3)^{4n}=3^{7n−3}$$ then n=

A. 1
B. 2
C. 3
D. 4
E. 5

Originally posted by harish1986 on 17 Jan 2016, 10:07.
Last edited by Bunuel on 17 Jan 2016, 10:25, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 64249
Re: If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=  [#permalink]

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17 Jan 2016, 10:46
harish1986 wrote:
If n is an integer and $$(−3)^{4n}=3^{7n−3}$$ then n=

A. 1
B. 2
C. 3
D. 4
E. 5

$$(−3)^{4n}=3^{7n−3}$$

$$3^{4n}=3^{7n−3}$$

$$4n=7n−3$$

$$n=1$$.

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Joined: 31 May 2015
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Re: If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=  [#permalink]

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02 Jul 2016, 08:57
Hi, not clear why is the negative sign removed (−3)^4n, could you explain please....
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Math Expert
Joined: 02 Sep 2009
Posts: 64249
Re: If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=  [#permalink]

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02 Jul 2016, 09:23
1
sony1000 wrote:
Hi, not clear why is the negative sign removed (−3)^4n, could you explain please....

Since n is an integer then 4n is even thus (−3)^(4n) = 3^(4n).
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Joined: 31 May 2015
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Re: If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=  [#permalink]

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03 Jul 2016, 10:21
Right on.. Thank you.
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GMAT loosers are born not made !!!
Re: If n is an integer and (−3)^{4n}=3^{7n−3}[/m] then n=   [#permalink] 03 Jul 2016, 10:21