Question

what is the last digit of 6^100 ?​

Answer 1

QUESTION :-

what is the last digit of 6^100 ?

SOLUTION :-

We know that

6¹ = 6

6² = 36

6³ = 216

6⁴ = 1296

6^5 = 7776

.......................

We see that 6ⁿ for any positive integer n ends is 6

i.e., unit digit is always 6.

.°. Unit digit of 6^100 is 6

Answer 2

Hey friend!

Here is your answer;

The last digit of the number is given by the power of the number as each integer shows cyclicity at the fourth interval generally. [for example for 6, it’s 6 at power 1, 6 at power 2, 6 at power 3....]



=> unit digit is six


I hope it helps and if you agree with my answer please respond with a thanks