What are the last two digits of 7^2008

What are the last two digits of 72008?

  1. 01
  2. 21
  3. 41
  4. 61

Answer

Observe the pattern:

71 = 7

72 = 49

73 = 343

74 = 2401

75 = 16807

76 = 117649 

The last two digits are repeating.

For every power of the form 4n, the last two digits are 01.

The correct option is A.