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3^11+3^12+3^13=?

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3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 03:00
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\(3^{11}+3^{12}+3^{13}=?\)

A. \(13(3^{11})\)
B. \(17(3^{11})\)
C. \(19(3^{11})\)
D. \(13(3^{10})\)
E. \(3^{36}\)

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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 04:14
1
MathRevolution wrote:
\(3^{11}+3^{12}+3^{13}=?\)

A. \(13(3^{11})\)
B. \(17(3^{11})\)
C. \(19(3^{11})\)
D. \(13(3^{10})\)
E. \(3^{36}\)


\(3^{11}+3^{12}+3^{13}\)

\(3^{11}(1+3+3^2)\)

\(3^{11}(1+3+9)\)

\(13(3^{11})\)

Answer (A)...
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 04:31
Take 3^11 common and then add (1+3+9) . Hence 13(3^11)

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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 11:33
I think this is in the wrong forum section.
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 11:41
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 04 Jul 2017, 23:59
take 3^11 common and is simplify,,,

ans A
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 06 Jul 2017, 01:24
==> \(3^{11}+3^{12}+3^{13}=(1+3+3^2)3^{11}=13(3^{11})\)

Answer: A
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 14 Jul 2017, 10:38
MathRevolution wrote:
\(3^{11}+3^{12}+3^{13}=?\)

A. \(13(3^{11})\)
B. \(17(3^{11})\)
C. \(19(3^{11})\)
D. \(13(3^{10})\)
E. \(3^{36}\)


Let’s factor 3^11 from the given expression:

3^11(1 + 3^1 + 3^2)

3^11(1 + 3 + 9)

3^11(13)

Answer: A
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Re: 3^11+3^12+3^13=?  [#permalink]

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New post 14 Jul 2017, 23:26
MathRevolution wrote:
\(3^{11}+3^{12}+3^{13}=?\)

A. \(13(3^{11})\)
B. \(17(3^{11})\)
C. \(19(3^{11})\)
D. \(13(3^{10})\)
E. \(3^{36}\)


Option:A
Just you need to take common
3^11(3^0+3^1+3^2)
3^11(1+3+9)
3^11(13)
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Re: 3^11+3^12+3^13=?   [#permalink] 14 Jul 2017, 23:26
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