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what is the highest power of 5 in 2009! ?

what is the highest power of 5 in 2009! ?

Grade:10

1 Answers

Surya Anuraag Duvvuri
39 Points
13 years ago

Dear Indrayani Bargaje,

The highest power of 5 in 2009! is,

        = [2009/5] + [2009/25] + [2009/125] + [2009/625] + [2009/3125] + ........................

        = 401 + 80 + 16 + 3 + 0 + 0 + ..........    Highest Power of X in Y! is =  [Y/X] + [Y/X^2 ] +........

       = 500.                                                    [.] = Integral Value of the function,           

All The Best ,

Surya Anuraag, Your Freind.                           

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