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# {4^8 - 3^8}/{4^4 + 3^4}=

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Senior Manager
Joined: 20 May 2014
Posts: 263
Followers: 7

Kudos [?]: 31 [0], given: 181

{4^8 - 3^8}/{4^4 + 3^4}= [#permalink]  12 Nov 2017, 00:34
00:00

Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
\frac{4^8 - 3^8}{4^4 + 3^4}=

A. 7
B. 25
C. 156
D. 175
E. 216

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 522
Followers: 0

Kudos [?]: 202 [0], given: 66

Re: {4^8 - 3^8}/{4^4 + 3^4}= [#permalink]  13 Nov 2017, 00:00
The numerator can be seen as a difference of square since 4^8-3^8 = (4^4)^2-(3^4)^2 = (4^4-3^4)(4^4+3^4). Then we can simplify the fraction as 4^4-3^4, which can be rewritten itself as (4^2)^2-(3^2)^2 = (4^2+3^9)(4^2-3^2) = 25*7 = 175.

Re: {4^8 - 3^8}/{4^4 + 3^4}=   [#permalink] 13 Nov 2017, 00:00
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