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

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Bunuel

Senior Manager

Joined: 20 May 2014

Posts: 285

{4^8 - 3^8}/{4^4 + 3^4}= [#permalink]

12 Nov 2017, 00:34

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Question Stats:

64% (00:53) correct

35% (01:49) wrong

based on 14 sessions

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$\frac{4^8 - 3^8}{4^4 + 3^4}=$

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

Kudos for correct solution.

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IlCreatore

Director

Joined: 03 Sep 2017

Posts: 518

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 $(4^2)^2-(3^2)^2 = (4^2+3^9)(4^2-3^2) = 25*7 = 175$.

Answer D

bumpbot

GRE Prep Club Legend

Joined: 07 Jan 2021

Posts: 4104

Re: {4^8 - 3^8}/{4^4 + 3^4}= [#permalink]

22 Jun 2023, 23:30

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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