Exponents

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Mon Nov 30, 2009 5:09 pm

9^21 + 9^22 + 9^23 =

I don't have OA. I did 9^21( 1 +1 + 2) = 9^21 * 4 = 9^21 * 2^2. I tried to manipulate this to get to the right answer but could not !!!!!!

Any Thoughts ?

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Source: Beat The GMAT — Problem Solving | Mon Nov 30, 2009 5:09 pm

adam15: Senior | Next Rank: 100 Posts; Posts: 70; Joined: Mon May 12, 2008 12:26 pm; Thanked: 3 times

by adam15 » Mon Nov 30, 2009 6:50 pm

I actual you need to factorize the 9^21(1+9+81)=91*9^21

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heshamelaziry: Legendary Member; Posts: 869; Joined: Wed Aug 26, 2009 3:49 pmFollowed by: 3 members; Location: California; Thanked: 13 times

by heshamelaziry » Mon Nov 30, 2009 7:18 pm

adam15 wrote:I actual you need to factorize the 9^21(1+9+81)=91*9^21

How do I get ( 1+9+81) when I factorize 9^21 ?

Thanks

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papgust: Community Manager; Posts: 1537; Joined: Mon Aug 10, 2009 6:10 pmFollowed by: 252 members; Thanked: 653 times

by papgust » Mon Nov 30, 2009 10:45 pm

9^21 * 1 + 9^21 * 9^1 + 9^21 * 9^2

Take 9^21 out,

9^21 (1+9^1+9^2) = 9^21 (1+9+81)

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