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Gmat prep question

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Intern
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Gmat prep question [#permalink]

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New post 24 May 2009, 13:40
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2+2+(2^2)+(2^3)+(2^4)+(2^5)+(2^6)+(2^7)+(2^8)

Thanks.

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Intern
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Re: Gmat prep question [#permalink]

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New post 24 May 2009, 14:15
dont we just add all the exponents and keep the 2 as it's?

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New post 24 May 2009, 14:35
I don't think that would work here. If they were multiplied together you can add the exponents, but for example x^3+x^7 isn't x^10. Normally I try to factor them but that seemed too cumbersome here. Like if it were 2^3+2^4 = 2^3(1+2) = 2^3(3) = 8*3.

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Re: Gmat prep question [#permalink]

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New post 24 May 2009, 19:03
2+2+(2^2)+(2^3)+(2^4)+(2^5)+(2^6)+(2^7)+(2^8)

it can be written as

(2^2)+(2^2)+(2^3)+(2^4)+(2^5)+(2^6)+(2^7)+(2^8)

(2^3) + (2^3)+(2^4)+(2^5)+(2^6)+(2^7)+(2^8)

so it goes on and will become (2^8) + (2^8) = (2^9) = 512

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Re: Gmat prep question   [#permalink] 24 May 2009, 19:03
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