how many no of zeroes at the end of 5^n!
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How can I find the number of zeros at the end of (5^n)!?
You can not get any zeros in 5^n for all positive values of n.
When n=1, 5^1=5,
When n=2, 5^2=25,
When n=3, 5^3=125 and so on.
5 ^ n = 5 where n=1,2,.. & x=any positive integer
Notice here, the one's position would be 5 for the values of n=1,2,3,,,
So last digit is 5, rest of the numbers are not possible including zero.
Let's consider, n is negative
When 5^-1 = 1/5 = 0.2
When 5^-2 = 1/25 = 0.04
When 5^-3 = 1/125 = 0.008 and so on.
It clearly says, 5^n tends to zero when n tends to negative infinity
So 5^n equals to zero when n is minus infinity
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