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# The number 70^6 is how many times the number 35^6?

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Joined: 13 Apr 2013
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Location: India
GMAT 1: 480 Q38 V22
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The number 70^6 is how many times the number 35^6? [#permalink]

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06 Apr 2018, 10:30
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Difficulty:

15% (low)

Question Stats:

71% (00:33) correct 29% (00:23) wrong based on 35 sessions

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The number 70^6 is how many times the number 35^6?

A. 2
B. 6
C. 9
D. 35
E. 64
[Reveal] Spoiler: OA

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Joined: 02 Sep 2009
Posts: 44635
The number 70^6 is how many times the number 35^6? [#permalink]

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06 Apr 2018, 12:30
QZ wrote:
The number 70^6 is how many times the number 35^6?

A. 2
B. 6
C. 9
D. 35
E. 64

$$70^6=(2*35)^6=2^6*35^6=64*35^6$$.

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The number 70^6 is how many times the number 35^6? [#permalink]

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06 Apr 2018, 19:30
1
KUDOS
QZ wrote:
The number 70^6 is how many times the number 35^6?

A. 2
B. 6
C. 9
D. 35
E. 64

Different visual presentation. For some people this visual is easier and/or helps expose traps such as Answer A.

The number 70^6 is how many times the number 35^6?

$$\frac{(70)^6}{(35)^6}=\frac{(2*35)^6}{(35)^6}= \frac{2^635^6}{35^6}=\frac{2^6}{1}$$

$$2^6 = 64$$

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The number 70^6 is how many times the number 35^6?   [#permalink] 06 Apr 2018, 19:30
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