Question

9) 6 to the power n , for any natural number n,never ends with digit______

1 point

(a)4

(b)16

(C)0

(d)none of these

​

Answer 1

Answer:

Your answer is = 0

bcz n never ends with 0

Answer 2

No. It will always end with 6.

Observe: if two numbers end with 6 and you multiply them, the result will end with 6.

a number ending with 6 is basically 10 times a whole number +6.

(10a +6)(10b+6) = 10a10b+10a6 +10b6 +36 = 10(10ab+6a+6b+3) + 6 which is again 10 times a whole number +6, so it ends with 6.

When you multiply lots of numbers that end with 6 you can do it one multiplication at a time, and you always get numbers that end with 6. So any n number ending with 6 will have a product ending with 6.

When you have n numbers all ending with 6 in a multiplication, you can start by multiplying two of them, so now you have a product of only n-1 numbers all ending with 6.

SO N NEVER ENDS WITH 0