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5^8 − 4*5^7 + 4*5^6 =?

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5^8 − 4*5^7 + 4*5^6 =?  [#permalink]

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New post Updated on: 07 Jun 2017, 14:24
4
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

78% (01:10) correct 22% (01:43) wrong based on 191 sessions

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\(5^8 − 4*5^7 + 4*5^6 =?\)

A: -11*5^6
B: 5^7
C: 9*5^6
D: 81*5^6
E: 81*5^8

Originally posted by Nathanlambson on 07 Jun 2017, 12:27.
Last edited by Bunuel on 07 Jun 2017, 14:24, edited 1 time in total.
Renamed the topic and edited the question.
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Re: 5^8 − 4*5^7 + 4*5^6 =?  [#permalink]

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New post 07 Jun 2017, 15:44
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Nathanlambson wrote:
\(5^8 − 4*5^7 + 4*5^6 =?\)

A: -11 x 5^6
B: 5^7
C: 9 x 5^6
D: 81 x 5^6
E: 81 x 5^8


Factor out the greatest common factor...

So, 5^8 − 4(5^7) + 4(5^6) = 5^6[5^2 - 4(5^1) + 4]
= 5^6[25 - 20 + 4]
= (5^6)(9)

Answer:

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Re: 5^8 − 4*5^7 + 4*5^6 =?  [#permalink]

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New post 07 Jun 2017, 15:48
=5^6( 5^2-4*5+4)
=5^6(25-20+4)
=5^6*9

Option C
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Re: 5^8 − 4*5^7 + 4*5^6 =?  [#permalink]

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New post 11 Jun 2017, 13:15
The question is better understood if formatted with parentheses:

5^8 − ( 4*5^7 ) + ( 4*5^6 ) = ?
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Re: 5^8 − 4*5^7 + 4*5^6 =?  [#permalink]

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New post 03 Feb 2019, 16:39
Hello from the GMAT Club BumpBot!

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Re: 5^8 − 4*5^7 + 4*5^6 =?   [#permalink] 03 Feb 2019, 16:39
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