Question

The last digit in 7 power of 300 is

Answer 1

7 power of 300 = ? = 1

Because the reminder , r

7n = r mod 10 is peroidic with n and the period is 4 , but 300 = 0 mod 4 then 300 = 1 mod 10

Hope this answer helps you!

Answer 2

Answer:

1

Step-by-step explanation:

in powering or multiplying 7 with itself, pattern repeats as 7,9,3,1,7.

Which means, 7 repeats after every 4th interval, and since 4*75=300 is also a multiple of 4 thus 7^300 should end with 1 only.

You can try this method for every such questions, simple concept, logical and useful.

Thanks!!!