Question

consider the number 4 to the power n where n is a natural number .check weather there is a value of n for which 4 to the power n ends the digit zero

Answer 1

by the uniqueness of fundamental theorem of arithmetic 4 to the power n can never end with digit 0 because for any numbers to end with digit 0 it must have factors of both 2 and 5 but 4 only has factor of 2 and thus cannot end with digit 0