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# Exponents

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Intern
Joined: 15 Oct 2017
Posts: 28
Schools: Northeastern '20

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29 Oct 2017, 22:45
3³⁰+3³⁰+3³⁰=3³¹ ?

I was thinking to do 30*30*30 so 3⁹⁰. How did they come up with that result?

Thanks =)
Manager
Joined: 21 Jun 2014
Posts: 64

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29 Oct 2017, 23:29
3^30+3^30+3^30 = 3^30(1+1+1)=3^30*(3)= 3^31. You should not multiply the powers.

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Joined: 17 Jul 2014
Posts: 2654
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)

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30 Oct 2017, 06:56
thegame12 wrote:
3³⁰+3³⁰+3³⁰=3³¹ ?

I was thinking to do 30*30*30 so 3⁹⁰. How did they come up with that result?

Thanks =)

if to think logically, you are adding 3 similar things, thus, you can factor it as: 3 * 3^30.
now, just to verify yourself:
3^(30) = 3 * 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3* 3

now, since you are multiplying everything with one more 3, you can rewrite it as: 3^31
Exponents &nbs [#permalink] 30 Oct 2017, 06:56
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# Exponents

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