Question

show that a number of the form 14^n where n is
a natural number can never end with digit zero

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Answer 1

Answer:

Consider the series of 14

n

Which is 14,196,2744,38416...

If we observe the units digit has only 2 repeated numbers 4,6

For zero to occupy units place either 10 or both 2,5 should be multiplied which doesn't take place here

So zero cannot be the units digit of the series 14

n