5. Consider the numbers 4", where n is a
natural number. Check whether there is
any value of n for which 4h ends with
the digit zero.
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Answer:
let us take the example of a number which ends with the digit 0
so, 10= 2×5
100=2×2×5×5
Here we note that numbers ending with 0 has both 2 and 5 as their prim factors
whereas 4 n = (2 × 2 ) n
foes not have 5 as a prime factor .
so, it does not end with zero .
therefore, 4n cannot end with zero for any natural number n.
I hope it's hepl you friends.....
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