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# (9^5 - 9^4)/2^3

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Intern
Joined: 09 Nov 2010
Posts: 9

Kudos [?]: [0], given: 1

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14 Jan 2011, 15:43
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Question Stats:

100% (00:28) correct 0% (00:00) wrong based on 19 sessions

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$$\frac{9^5 - 9^4}{2^3}$$

I can only figure this out by doing all the calculations. What is the best way to solve this problem?

Kudos [?]: [0], given: 1

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128713 [1], given: 12182

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14 Jan 2011, 15:50
1
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Expert's post
mrcrescentfresh wrote:
$$\frac{9^5 - 9^4}{2^3}$$

I can only figure this out by doing all the calculations. What is the best way to solve this problem?

Provide answer choices for PS questions.

$$\frac{9^5 - 9^4}{2^3}$$ --> factor out $$9^4$$ from nominator --> $$\frac{9^4*(9-1)}{2^3}=\frac{9^4*8}{8}=9^4$$.

Hope it's clear.
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22 May 2017, 11:30
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Director
Joined: 04 Dec 2015
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Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
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23 Aug 2017, 01:33
mrcrescentfresh wrote:
$$\frac{9^5 - 9^4}{2^3}$$

I can only figure this out by doing all the calculations. What is the best way to solve this problem?

$$\frac{9^5 - 9^4}{2^3}$$

$$\frac{9^4(9 - 1)}{2^3}$$

$$\frac{(9^4)(8)}{8}$$ $$=9^4$$

Kudos [?]: 299 [0], given: 261

Re: (9^5 - 9^4)/2^3   [#permalink] 23 Aug 2017, 01:33
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