1)
a) 2!=2
b) 3!=6
c) 4!=24
d) 5!=120

2)
a) 2^2=4
b) 2^3=8
c) 2^4=16
d) 2^10=1024

3)
a) 6^2=36
b) 6^3=216
c) 6^4=1296

4)
As said by fishy: (I liked his answer)
There are 5 ways to NOT get a 3 on the first die. There are 5 ways to NOT get a 3 on the second die. There are 5 ways to NOT get a 3 on the third die. There are 125 ways to roll all the dice with no 3. There are 216 total ways to roll the dice. Subtracting, we find 91 ways to roll the dice WITH a 3.