22.3k views
3 votes
Find The last two digit of 36^2015

1 Answer

7 votes

Answer:

76

Explanation:

The last two digits of powers of 36 repeat in a pattern of length 5:

36^1 mod 100 = 36

36^2 mod 100 = 96

36^3 mod 100 = 56

36^4 mod 100 = 16

36^5 mod 100 = 76

36^6 mod 100 = 36

The last two digits of the power 2015 are the same as those of the 5th power: 76.

User Alexander Chertov
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories