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swtmix
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 Posted: Mon Nov 19, 2007 11:17 am Post subject: quickest way to solve.. |
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what's the shortcut to solving?
5^12+5^13+5^14? |
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mschling52
Really wants to Beat The GMAT!
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| Posted: Mon Nov 19, 2007 1:38 pm Post subject: |
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Not sure there is really a shortcut...at least I don't see one immediately. You could factor out 5^12, giving you
(5^12)(1+5+25) = 31(5^12)
Then, I expressed 5^12 = 25^6 = 625^3.
From there I multiplied out 625*625*625 and multiplied the result by 31. This does take a minute or two to do by hand, so there may be an easier way, but I am not seeing it. |
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beatthegmat
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| Posted: Mon Nov 19, 2007 1:59 pm Post subject: |
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Moved to PS forum area.
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Eric
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