1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook