Math puzzle-hard for 4th grade and below, easy for 5th and up

1     2    3       4           5          6                      7                     8                       9                         10

1     4   27    256     3,125   46,656             823,543      16,777,216  387,420,489    1 billion



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Hint: exponents




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Solution: Take the number and then put it the power of the same number.(This is exponents.) For example 5 to the 5th power is 5x5x5x5x5, 5 5 times, which makes 3,125.

Logic puzzle-medium

1     2     3     4          5          6                             7                           8                         9                     10    

1     2     6     24     120        720                  5,040                   40,320                  362,880        3,628,806



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Hint: !

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Solution: ! is a factorial. A factorial means you should take that number and multiply by the numbers before it:
1!=1. 2!=2x1=2. 3!=3x2x1=6. 4!=4x3x2x1=24. 5!=5x4x3x2x1=120, and so on.
Zero is different though. Instead 0!=1 for some strange reason.(The same as 1!)

I got this problem from the puzzle "How can you use 5 0's to get 120 using any math equation?" The answer was this: (0! + 0! + 0! + 0! + 0!)! which made (1 + 1 + 1 + 1 + 1)! and then 5! which made 120.