Math, asked by rudrajoshi282006, 1 month ago

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

Answers

Answered by sahanasusil83
2

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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