Question

show that any numbers of the form 4 to the power n can never end with the digit 0​

Answer 1

Any no. in the form 4 to the power n can't end with digit 0 as for 0 at one's place it needs factor 2 and 5 both but unfortunately 4 only has 2 as a factor not 5.

Therefore a no. in the form of 4 to the power n can't end woth digit 0

Answer 2

Answer:

The answer is here

Step-by-step explanation:

We have 4n  where n = 1, 2, 3, 4.......

if n = 1 then 4n = 41 = 4  

if n = 2 then 4n = 42 = 16 and so on  

If a number ends with zero then it is divisible by 5.

Here, 4 and 16 are not divisible by 5.

Therefore, 4n can never end with zero.