Math, asked by sonumangotra6832, 1 year ago

Show that a number of the form 14powern , where n is a rational number can never end with digit 0

Answers

Answered by anandayush634p9tvz2
0
if the number 14n ,for  any n , were to end with the digit zero, then it would be divisible by 5. 
the uniqueness of the fundamental theorem of arithmetic guarantees that there are no other prime factors other than 2 and 7 on factorising 14.
so, there is no natural number n for which 14nends with the digit zero
Similar questions