Math, asked by naveenyadav5, 1 year ago

check the whethet 6n can end with the digit 0 for any natural number n

Answers

Answered by priyankbhardwaj
1
let n=2
6n=6×2=12
let n=5
6n=6×5=30
let n=10
6n=6×10=60.
yes 6n can end with the digit 0
for any natural number.

or
if you means6^n
then the answer is no
for exmple;
n=2
6^n
6^2
36
n=6^5
7776.
hence we see that .6^n never ends with zero.

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Answered by reemaanver999
0

To end with 0, 5 and 2 must be factors.

But in 6n, the factors are 2 and 3 as 6 = 2 x 3

The fundamental theorem of arithmetic guarantees that this factorization is unique. Hence 6n can never end with zero....

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