(adsbygoogle = window.adsbygoogle || []).push({}); 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 65^{1000}- 8^{2001}+ 3^{177}, 79^{1212}- 9^{2399}+ 2^{2001}and 24^{4493}- 5^{8192}+ 7^{1777}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.

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# Homework Help: Proof w/ CRAZY exponents

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