Question

Check whether 6" can end with the digit 0 for any natural number n.

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Answer 1

no because 6x6 equals 36 hence last digit will be 6.

Answer 2

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$\underline\bold{\huge{SOLUTIONS:\: :}}$

No, because according to the fundamental theorem of arithmetic it

states every composite no.can be expressed as product of primes and

this factorisation is unique apart from order of arrangements.

If it end in 0 it will be divisible by 5

so,

$6 ^{n} = (2 \times 3) ^{n}$

so, here only 2 and 3 got repeated contiously.But here there is no even one

number which is divisible by 5 .So it

cannot end in zero.