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# 4^13 - 4^12

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Founder
Joined: 18 Apr 2015
Posts: 7791
Followers: 145

Kudos [?]: 1597 [0], given: 7061

4^13 - 4^12 [#permalink]  22 May 2017, 01:56
Expert's post
00:00

Question Stats:

93% (00:21) correct 6% (00:00) wrong based on 61 sessions

$$\frac{4^{13} - 4^{12}}{4^{11}}$$

A) 0

B) 1

C) 4

D) 12

E) 16
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 2311
Followers: 72

Kudos [?]: 2200 [1] , given: 27

Re: 4^13 - 4^12 [#permalink]  22 May 2017, 08:28
1
This post received
KUDOS
Expert's post
Carcass wrote:

$$\frac{4^{13} - 4^{12}}{4^{11}}$$

A) 0

B) 1

C) 4

D) 12

E) 16

We can use the fact that (a - b)/c = a/c + b/c

So, (4^13 - 4^12)/(4^11) = (4^13)/(4^11) - (4^12)/(4^11)
= 4^2 - 4^1 [after applying the rules for dividing powers]
= 16 - 4
= 12

Answer: D

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

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Intern
Joined: 14 Jan 2019
Posts: 31
Followers: 0

Kudos [?]: 9 [1] , given: 5

Re: 4^13 - 4^12 [#permalink]  05 Feb 2019, 05:44
1
This post received
KUDOS
(4^13/4^11)-(4^12/4^11)
16-4=12

Answer= D
Re: 4^13 - 4^12   [#permalink] 05 Feb 2019, 05:44
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# 4^13 - 4^12

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