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4^13 - 4^12
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22 May 2017, 01:56
22 May 2017, 01:56
Expert Reply
00:00
Question Stats:
91% (00:26) correct
8% (00:38) wrong based on 224 sessions
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\(\frac{4^{13} - 4^{12}}{4^{11}}\)
A) 0
B) 1
C) 4
D) 12
E) 16
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 4^13 - 4^12
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22 May 2017, 08:28
22 May 2017, 08:28
1
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
