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

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
3^10 + 3^10 + 3^10 =  [#permalink]

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03 Dec 2014, 08:25
1
2
00:00

Difficulty:

5% (low)

Question Stats:

80% (00:15) correct 20% (00:35) wrong based on 127 sessions

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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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Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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03 Dec 2014, 09:02
3^10 + 3^10 + 3^10 = 3^10( 1 + 1 + 1 ) = 3.3^10 = 3^11

Hence A
Manager
Joined: 21 Jul 2014
Posts: 126
Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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03 Dec 2014, 09:04
1
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]

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03 Dec 2014, 20:03

$$3^{10} + 3^{10} + 3^{10} = 3 * 3^{10} = 3^{11}$$
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Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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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.

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Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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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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Posts: 49300
Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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04 Dec 2014, 07:25
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

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Posts: 8137
Re: 3^10 + 3^10 + 3^10 =  [#permalink]

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27 Feb 2017, 07:01
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: 3^10 + 3^10 + 3^10 = &nbs [#permalink] 27 Feb 2017, 07:01
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