Question

What is the last digit of 6^100?​

Answer 1

Answer:

Answer. In this way, 6 × 6 comes in the products, which always leads to the last digit as 6. So, the last digit of 6^100 is 6.

Answer 2

Question :- Find last digit of 6^100 ?

Solution :-

We know that,

→ 6¹ = 6

→ 6² = 36 = 6 in Last .

→ 6³ = 216 = 6 in Last .

→ 6⁴ = 1296 = 6 in Last .

As we can see upto power 4 of 6 , we always have 6 in last .

Therefore, we can conclude that, If power is 5 , we will divide 5 by 4 and than remainder is 1 , which is similar to 6¹ . Similarly, if 6^26, when we divide 26 by 4 we get 2 remainder , which is similar to 6² , that is 6 in Last .

Now,

→ in 6^100 , when we divide 100 by 4, we get remainder as 0 .

→ That is Equal to 6⁴ = 6 in Last .

Hence, we can conclude that, Any power of 6 ,will always gives Last digit as 6 itself .