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# equivalent to which of the following?

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Moderator
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equivalent to which of the following? [#permalink]  20 Sep 2017, 02:18
Expert's post
00:00

Question Stats:

76% (01:42) correct 23% (02:19) wrong based on 13 sessions

$$\frac{5^3 (4^{45} - 4^{43}) 27}{225^2}$$ is equivalent to which of the following?

A. $$4^ {43}$$

B. $$4^{45}$$

C. $$4^{90} 5^3$$

D. $$4^{86} 5^3 3^3$$

E. $$4^{90} 5^3 3^3$$
[Reveal] Spoiler: OA

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Director
Joined: 03 Sep 2017
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Kudos [?]: 343 [1] , given: 66

Re: equivalent to which of the following? [#permalink]  22 Sep 2017, 05:10
1
KUDOS
We can start by rewriting the expression as $$\frac{15^3(4^{45}-4^{43})}{15^4} = \frac{(4^{45}-4^{43})}{15} = \frac{4^{43}(4^2-1)}{15} = \frac{4^{43}*15}{15} = 4^{43}$$. Answer A!
Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
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Kudos [?]: 78 [0], given: 99

Re: equivalent to which of the following? [#permalink]  12 May 2018, 01:45
IlCreatore wrote:
We can start by rewriting the expression as $$\frac{15^3(4^{45}-4^{43})}{15^4} = \frac{(4^{45}-4^{43})}{15} = \frac{4^{43}(4^2-1)}{15} = \frac{4^{43}*15}{15} = 4^{43}$$. Answer A!

great way of solving the problem -- but how did you came to know that 225*225 will be 15 raised to the power of 4? how can I too solve the such problem in a 2 months time as I prepair for my THIRD GRE ATTEMPT?
Moderator
Joined: 18 Apr 2015
Posts: 5516
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Kudos [?]: 1113 [1] , given: 5129

Re: equivalent to which of the following? [#permalink]  12 May 2018, 04:59
1
KUDOS
Expert's post
Start reading this. Soon the rest.

https://greprepclub.com/forum/all-you-n ... -8898.html

Regards
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Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 78 [0], given: 99

Re: equivalent to which of the following? [#permalink]  14 May 2018, 02:43
Carcass wrote:
Start reading this. Soon the rest.

https://greprepclub.com/forum/all-you-n ... -8898.html

Regards

Hi ,

I am moved by this article and I will be reading it more until I before I gain more clarity.

However, after reading this , my answer to the two question you asked is "NO" and hence I need help in formulating a strategy.

The only strategy which i have for my third attempt is -- complete 5 LB Complete Magoosh complete official Guide make an error log improve my RC .

I want appreciate problem recognition skill as I have seen that this is really helpful after I have solved 100+ number property question in this forum.

But I really need a solid strategy.

I am hell bent to crack GRE by 310 marks this time..
Moderator
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Kudos [?]: 1113 [0], given: 5129

Re: equivalent to which of the following? [#permalink]  15 May 2018, 15:37
Expert's post
Sorry if I ask you but indeed what do you need OR are you asking ??

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Manager
Joined: 29 Nov 2017
Posts: 190
Location: United States
GRE 1: Q142 V146
WE: Information Technology (Computer Software)
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Kudos [?]: 78 [0], given: 99

Re: equivalent to which of the following? [#permalink]  17 May 2018, 21:50
Carcass wrote:
Sorry if I ask you but indeed what do you need OR are you asking ??

Dear Carcass, I am only struggling to form an PLAN to retake my GRE exam.. as of now I am only focusing on this forum and then magoosh and Manhattan 5 LB.

When I look at the plan of Magoosh, I think it does not suite me. My problem is I dont have plan to attack GRE this time. I am more or less going with my gut from one topic to another.

What should I doo?

Pls help.
Moderator
Joined: 18 Apr 2015
Posts: 5516
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Kudos [?]: 1113 [0], given: 5129

Re: equivalent to which of the following? [#permalink]  18 May 2018, 14:42
Expert's post
Start reading this post https://greprepclub.com/forum/all-you-n ... -8898.html

Let me know.

Regards
_________________
Re: equivalent to which of the following?   [#permalink] 18 May 2018, 14:42
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