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Proof w/ CRAZY exponents

  1. Feb 15, 2010 #1
    1. The problem statement, all variables and given/known data
    I barely even know where to begin with this proof:

    Show that the product of two of the numbers 651000 - 82001 + 3177, 791212 - 92399 + 22001 and 244493 - 58192 + 71777 is nonnegative.

    I also have to state if it is constructive or nonconstructive, and I'm not supposed to evaluate the numbers.

    2. Relevant equations

    3. The attempt at a solution
    The most I can come up with so far is that the proof is likely "nonconstructive" since I am not out to find a single element to make the statement true; I have to determine it in another fashion.
    Last edited: Feb 16, 2010
  2. jcsd
  3. Feb 15, 2010 #2


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    Gold Member

    Well, I have not studied this so please take my suggestion with a grain of salt but: it seems to me that, according to the law of exponents, you can add exponents to arrive at a value (1000-2001+1212-2399 = -187). When you do this, both numbers have a negative value (though we do not know the magnitude), which means the product will have to be positive.
    Last edited: Feb 15, 2010
  4. Feb 16, 2010 #3
    I have revised the equation. Can anyone assist me?
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