Question

Show that any number of the form 6^n n€N can never end with the digit 0.
please help
if the answer will be correct then I will mark it as a brainliest​

Answer 1

Answer:

6^n don't ends with 0

Step-by-step explanation:

let 6^n ends with 0

then, it will be divisible by 10

which mean it will have (2×5) as a prime factor

but 6^n has (2^n × 3^n) as prime factor

which means it is not divisible by 10

then it does not ends with 0

hence proved

*Hope it helps*

Answer 2

Answer:

6^n refers to 6*6*6*6...n number of times.

Now

6*6=36

36*6=216

216*6=1296, and so on

Hence we find that when we multiply 6 with itself n number of times the digit always ends in 6.

Hence 6^n n€N will never end with the digit 0

Hope it helps