Question

which digit occupy the units place of 6 power 100

​

Answer 1

Answer:

The number 6, when raised to any power, gives a number with 6 at its unit place, Eg. 6×6=36, 6^3=6×6×6=216, and so on. So, 6^100 has units place of 6.

If u find this answer useful kindly Mark me as a brainliest

Answer 2

Answer:

The digit 6 occupy the units place of 6 power 100.

Step-by-step explanation:

Here given,6 power 100$= {6}^{100}$

Here we want to find unit digit of ${6}^{100}$

But calculation of ${6}^{100}$

is not possible ( Because it is too much lengthy)

By another method we can solve this problem.

Now,

When power of 6 is an odd number like 1,3,5 e.t.c.

${6}^{1} = 6 \\ {6}^{3} = 216 \\ {6}^{5} = 7776$

So,we can say power of 6 is odd number then unit digit will be 6.

When power of 6 is an even number like 2,4,6 e.t.c

${6}^{2} = 36 \\ {6}^{4} = 1296 \\ {6}^{6} =46656$

So,we can say power of 6 is even number then unit digit will be 6.

So,it is prove that unit digit of any power of 6 is always 6.

Here,Power of 6 is 100.

Therefore unit digit of 6 power of 100 is 6.

Know more about unit digit,

1) https://brainly.in/question/500242

2) https://brainly.in/question/16772489