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

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

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06 Apr 2018, 09:30
00:00

Difficulty:

15% (low)

Question Stats:

78% (00:51) correct 22% (00:43) wrong based on 69 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

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

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06 Apr 2018, 11:30
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, 18:30
1
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?

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

$$2^6 = 64$$

VP
Status: It's near - I can see.
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Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
The number 70^6 is how many times the number 35^6?  [#permalink]

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08 Jul 2018, 10:00
The number 70^6 is how many times the number 35^6?

1. 2
2. 6
3. 9
4. 35
5. 64
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GMAT 1: 600 Q48 V25
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Re: The number 70^6 is how many times the number 35^6?  [#permalink]

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08 Jul 2018, 10:09
Option E

70 = 35*2

$$70^6$$ = $$35^6$$ * $$2^6$$

$$2^6$$ = 64
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Re: The number 70^6 is how many times the number 35^6?  [#permalink]

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08 Jul 2018, 10:24
AkshdeepS wrote:
The number 70^6 is how many times the number 35^6?

1. 2
2. 6
3. 9
4. 35
5. 64

$$\frac{70^6}{35^6}$$

Or, $$\frac{35^6*2^6}{35^6}$$

Or, $$2^6 = 64$$, Answer must be (E)
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Re: The number 70^6 is how many times the number 35^6? &nbs [#permalink] 08 Jul 2018, 10:24
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