4!4! = 2424 = 1.3337 * 1033 or slightly greater than 1 decillion. And you still have another 4 to play with!
If you do not wish to use factorials, you can try
4^4^4 = 256^4 = 4,294,967,296 - more than big enough.
44/4 = 11
44/4
A solution to the four fours problem for the number 33 is: 33 = (4-.4)/.4+4!
To make 11 using four fours, you can use the following equation: ( 4 \times 4 - 4 - 4 = 11 ). Here, you multiply two fours to get 16, then subtract two fours to reach 11. This creatively utilizes the four fours while adhering to the mathematical operations allowed.
That's reletivly easy. All you need to do is the following: (4 + 4 + 4) / 4 = 3
You can make the number 10 using four fours with the following mathematical expression: ( (4 \times 4) - (4 + 4) ). This simplifies to ( 16 - 8 = 8 ), which is incorrect. Instead, try this: ( (4 \times 4) / 4 + 4 = 10 ). This correctly uses four fours to achieve the desired result.
you could just use all the threes to make 333
you can not
Any fraction in which the top is greater than the bottom number can be converted to a mixed number.
no
(4x4) - (4/4)
I am not aware of a solution using the four basic operations of arithmetic, but otherwise: 129 = [(4^4)/sqrt(4)] + sqrt(sqrt(sqrt(sqrt...(sqrt(4))...))) * * * * * * * * * * * * No matter how many times you square root it, it will not equal 1 To the OP. I have spend a lot of time on this one. Just wanting to make sure that the correct number is 129 and you are sure you are using only 4 fours. It would work out great if using 5 fours. If you made a mistake, correct it and I'll check back. In the mean time, I'll continue thinking about a solution for 4 fours and 129.