Riddles, brain puzzles and mathematical problems

[BAndrew]

Using the appropriate symbols (+,-,*,/,^,etc) between the numbers make the following true:

2 2 = 24
3 3 3 = 24
4 4 4 4 = 24
5 5 5 5 5 = 24
6 6 6 6 6 6 = 24
7 7 7 7 7 7 7 = 24
8 8 8 8 8 8 8 8 = 24
9 9 9 9 9 9 9 9 9 = 24


NOTE: Square (or any other) root is not allowed. Also you can use exponentiate if and only if you use the numbers specified so for example:

2^2 --> allowed
2^4 + 2^2 --> not allowed
4^4 + (4*4)^4 --> not allowed (because you used one more 4)
9^9 + (9*9+9)^9 +... --> allowed
5^7 --> not allowed


Also you are not allowed to combine 2 digits in one number. So for example you cannot make "44" just by combining the two 4.

PS
I am so bad at Rubik's cube :/