Math, asked by vivek5248, 11 months ago

explain why 9 ^ n cannot end with the digit 0

Answers

Answered by AlokYadav100
1
if 9^n ends with 0 then it must have 5 as a factor
but 9^n ={3×3)^n ={3×3} shows that 3 and 3 are the only prime factors of 5^n
also, we know from the fundamental theorem of arithmetic that the prime factorisation of each number is unique
so, 5 is not factors of 9^n
hence,9^n can be never ends with digits zero

hope it will help you


mark as brainlist
Similar questions