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by dsheppard » Sun Feb 15, 2009 10:25 am
2^5 + 2^5 + 3^5 + 3^5 + 3^5?

- Answer is 2^6 + 3^6

Please explain how this is answered!

Thanks!
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by DanaJ » Sun Feb 15, 2009 10:41 am
2^5 + 2^5 + 3^5 + 3^5 + 3^5

Notice that you have 2^5 two times, which is actually 2*2^5 = 2^(1 + 5) = 2^6
Again, you have 3^5 three times, meaning 3*3^5 = 3^(1 + 5) = 3^6.
Final answer: 2^6 + 3^6.
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by dsheppard » Sun Feb 15, 2009 11:01 am
Thats great - Thank You...Just a question..

What if it was:

2^5 + 2^5 + 2^5 + 3^5 + 3^5?

Thanks!
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by DanaJ » Sun Feb 15, 2009 1:00 pm
Well, you have 3*2^5 + 2*3^5 = 6(2^4 + 3^4). Can't go any further, though: this is about as much as you can factor.
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by dsheppard » Sun Feb 15, 2009 1:35 pm
Thanks again for your help!
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