Question

check whether 6 power n and 15 power n can end with the digit zero​

Answer 1

if the number 6^n ends with zero, it would be divisible by 5

the prime factorisation of 6^n is 2(3^n).

the prime factorisation of 6^n does not contain 5 in it.

also there is no natural number for which 6^n ends with zero ...

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if 15 power n end with digit zero , then the no. should divisible by 2 and 5.

As 2×5=10

this means the prime factorisation of 15 to the lower n should contain prime factors 2 and 5.

15 to the power n=(3×5) power n

it does not have the prime factor 2 but have 3 and 5,

since 2 is not present int

he prime factorisation there is no natural number nor which 15 power n ends with digit 0...

so, 15 power n can not be end with digit zero...

Hope it helps u out...