Question

Can 15ⁿ end with a 0, where n is a natural number

Answer 1

As we know that

15ⁿ = (3 x 5)ⁿ

= 3ⁿ x 5ⁿ

The prime factorization of 15 doesn't have a 2 as its factor. So, its factorization will never end in 10 as a number ending in 10 must have factors of 5 as well as 2. So, 15ⁿ will never end in zero as 15 doesn't have 2 as a factor.