Question

check whether 14 n can end with the digit zero for any natural number

Answer 1

In order to get 0
its prime factors should be 5
but it doesnot have we jus get (2*7)^n
2^n*7^n
so we are not having 5
therfore for 14 to any power it doesnot end with 0

Answer 2

Answer:

Its not possible for $14^n$ to be end with zero having n as any natural number

Solution:

For any number to have zero at the end, it should be multiplied with 5, 10 or by the multiples of 10.

In case of terms like $x^n$, the value x must contain zero or zeroes at the end otherwise it must have the factor as 5 or 10.

Here in $14^n$, the factors of 14 are 7 and 2

$14^n=7^n\times 2^n$

Therefore, for $14^n$ cannot end with the digit zero for n having any natural number.