Question

What is the remainder when ${14}^{{15}^{16}}$ is divided by 5 ?

Answer 1

${14}^{{15}^{16}}=(15-1{)}^{odd}=15n+(-1{)}^{odd}$ i.e. a (multiple of 5) -1 Thus when divided by 5 the remainder will be (-1) i.e. 4