Question

Prove that 4^n does not end with zero ,where n is a natural number

Answer 1

4¹ = 4

4² = 16

4³ = 64

4⁴ = 256

Hence, every odd power of 4 ends with 4 and even power ends with 6.

Hence, 4ⁿ does not end with 0 for all n∈ N

Answer 2

1. any number which can be converted in 2 x 5 form and with 0
2. as 4 cannot be converted in form 2x 5 it will not end with zerp