You may have seen the 24 game where you take four numbers and try to make 24 using the numbers and mathematical operations. However, I present a twist on the 24 game: with an exponent. Here are the modified rules:
- You must use each of the four numbers exactly once.
- You may use only the following mathematical operations:
()
,+
,-
,*
,/
,^
(exponent). - You may only use exponents of integral powers, exponents of (1/integer) powers, and not anything that evaluates to
-1
,0
, and1
. - You must use exactly one exponent.
Here are the problems:
6 4 1 1
(you should get this one in a few seconds)1 1 9 9
9 8 7 3
4/7 3 5 11
3/17 2 4 4
3/16 4/5 5 2
1/7 1/6 2/3 2
3 12 90 105
2 3 14 39
3 28 20 16
(the day this was posted)
-1
,0
, and1
" mean that those can't be the exponents, or those can't be the bases of exponents? $\endgroup$ – f'' Mar 28 '16 at 19:55