3 years ago

Find The last two digit of 36^2015

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

Answer:

Step-by-step 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.

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