Finding the significance of 2^m×5^n in terms of number of zeroes in a number, divisibility of numbers like 2, 4,8, etc
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Answer:
2
m
will always be even, since m∈N
Now, 5
2
=25,5
3
=25,5
4
=125....
Since, 5×5 ends with 5.
So, 5
n
will always end with 5
If we multiply 5 by even number, we always get 0 at the unit place i.e. it ends with 0
∴2
m
×5
n
will always ends with 0
Hence, 2
m
.5
n
(m,n∈N) ends with
Step-by-step explanation:
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