Question

Check wheather 6^n can end with the digit 0 or any natural number n.

please guys it's urgent please send me the solution

Answer 1

6^n=(2×3)^n

6^n=2×3×2×3×2×3...

so there CAN never be presence of 5 in prime factorisation of 6^n BUT this is necessary for a number TO have 2 and 5 in prime factorisation to end with a zero ..
HENCE NO.

Answer 2

N is a natural no.

6^n is divisible by 5

But the prime factor of 6 are 2 and 3

6^n=(2*3)

in the prime factor of 6^n there is no factor of 5

Therefore 6^n do not end with 0