On: Who Can Name the Bigger Number?

[vacri]

Wow, 9!! is so large that the exponent almost needs it's own exponent.

    9^9^9 =~ 2e77
    9!! =~ 1.6e1859933

[peterjmag → vacri]

Correct me if I'm wrong, but aren't you supposed to evaluate stacked exponents from the top down? That is, 9^(9^9) instead of (9^9)^9. If that's the case, 9^(9^9) is much larger than 9!!. Though I'm not sure how much larger, since I couldn't find any big integer calculators online that would give me an actual result for 9^(9^9).

[cradle → peterjmag]

9^(9^9) is ... wait for it... 4e369693099 bigger than 9!!

http://www.wolframalpha.com/input/?i=9%5E9%5E9+-+9%21%21

[BhavdeepSethi → cradle]

Shouldn't it be (9!)!? http://www.wolframalpha.com/input/?i=9%5E9%5E9+-+%289%21%29%...

[peterjmag → cradle]

Ah thanks! How could I forget Wolfram Alpha? =)

[vacri → peterjmag]

It seems you're correct - I was just pounding the values in sequence into a calculator, much like a determined monkey would.