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3^10 + 3^10 + 3^10 =

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Bunuel
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3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 08:25
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Tough and Tricky questions: Exponents.



3^10 + 3^10 + 3^10 =

A) 3^11
B) 3^13
C) 3^30
D) 9^10
E) 9^30

Kudos for a correct solution.

Source: Chili Hot GMAT
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A
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 09:04
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Bunuel wrote:

Tough and Tricky questions: Exponents.



3^10 + 3^10 + 3^10 =

A) 3^11
B) 3^13
C) 3^30
D) 9^10
E) 9^30

Kudos for a correct solution.

Source: Chili Hot GMAT


This problem can seem tricky at first glance, but is actually pretty quick once you see how to factor it.

Since we have 3^10 added together 3 times, we can factor out a 3 and we get 3(3^10). Once we have this, we can see we are just multiplying by 3, but that's all we are doing with our exponents anyways, so multiplying by 3 one more time just increases our exponent by 1.

So the answer is (A), 3^11.
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 09:02
3^10 + 3^10 + 3^10 = 3^10( 1 + 1 + 1 ) = 3.3^10 = 3^11

Hence A
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 20:03
Answer = A = 3^11

\(3^{10} + 3^{10} + 3^{10} = 3 * 3^{10} = 3^{11}\)
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 20:24
1. Since 3^10 is common among all the terms, it can be factored out.
2. This factors to 3^10(1+1+1).
3. This reduces to 3^10 * (3), which is also 3^10 * 3^1.
4. You can then add the exponents: 3^10 * 3^1 = 3^10+1 = 3^11.

The answer is A.
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   03 Dec 2014, 20:34
3^10 + 3^10 + 3^10 = 3^10(1+1+1) =3^10*3 = 3^11
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   04 Dec 2014, 07:25
Expert Reply
Bunuel wrote:

Tough and Tricky questions: Exponents.



3^10 + 3^10 + 3^10 =

A) 3^11
B) 3^13
C) 3^30
D) 9^10
E) 9^30

Kudos for a correct solution.

Source: Chili Hot GMAT


The correct answer is A.
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Re: 3^10 + 3^10 + 3^10 = [#permalink] New post   27 Feb 2017, 07:01
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Re: 3^10 + 3^10 + 3^10 = [#permalink]
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