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# 2^12 + 2^12 + 2^12 + 2^12

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Intern
Joined: 26 Apr 2018
Posts: 39
2^12 + 2^12 + 2^12 + 2^12  [#permalink]

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Updated on: 11 Sep 2018, 01:00
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:32) correct 9% (01:06) wrong based on 51 sessions

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2^12 + 2^12 + 2^12 + 2^12

a) 4^12
b) 2^14
c) 2^16
d) 4^16
e) 2^48

Source: gmat tutor exercise sheet

Originally posted by bettatantalo on 11 Sep 2018, 00:32.
Last edited by workout on 11 Sep 2018, 01:00, edited 3 times in total.
Math Expert
Joined: 02 Aug 2009
Posts: 7688
Re: 2^12 + 2^12 + 2^12 + 2^12  [#permalink]

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11 Sep 2018, 00:50
2
bettatantalo wrote:
2^12 + 2^12 + 2^12 + 2^12

a) 4^12
b) 2^14
c) 2^16
d) 4^16
3) 2^48

Provide OA and source

$$2^{12}+2^{12}+2^{12}+2^{12}=4*2^{12}=2^2*2^{12}=2^{2+12}=2^{14}$$

B
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Posts: 39
Re: 2^12 + 2^12 + 2^12 + 2^12  [#permalink]

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11 Sep 2018, 00:53
chetan2u wrote:
bettatantalo wrote:
2^12 + 2^12 + 2^12 + 2^12

a) 4^12
b) 2^14
c) 2^16
d) 4^16
3) 2^48

Provide OA and source

$$2^{12}+2^{12}+2^{12}+2^{12}=4*2^{12}=2^2*2^{12}=2^{2+12}=2^{14}$$

B

Thank you very much, super helpful!

I wasn't provided with the OA and the brackets and pressing m for the exponents wasn't working for me for some reason.
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Joined: 22 Feb 2018
Posts: 428
2^12 + 2^12 + 2^12 + 2^12  [#permalink]

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11 Sep 2018, 08:41
1
bettatantalo wrote:
2^12 + 2^12 + 2^12 + 2^12

a) 4^12
b) 2^14
c) 2^16
d) 4^16
e) 2^48

Source: gmat tutor exercise sheet

OA: B

$$2^{12}+2^{12}+2^{12}+2^{12}= 4*2^{12}=2^2*2^{12}=2^{2+12}=2^{14}$$
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Re: 2^12 + 2^12 + 2^12 + 2^12  [#permalink]

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14 Sep 2018, 17:45
1
bettatantalo wrote:
2^12 + 2^12 + 2^12 + 2^12

a) 4^12
b) 2^14
c) 2^16
d) 4^16
e) 2^48

Factoring out the common 2^12 from each of the four terms, we have:

2^12(1 + 1 + 1 + 1)

2^12 x 4 = 2^12 x 2^2 = 2^14

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Re: 2^12 + 2^12 + 2^12 + 2^12   [#permalink] 14 Sep 2018, 17:45
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