Problem Solving (PS) | Re: What is the remainder when 2^86 is divided by 9?

In all the remainder of a Number with power problems, the easiest way to solve the question is by finding the cyclicity of remainders.
Remainder of 2/9 = 2
Remainder of 2^2/9 = 4
Remainder of 2^3/9 =8
Remainder of 2^4/9 =7
Remainder of 2^5/9 =5
Remainder of 2^6/9 =1
Remainder of 2^7/9 =2
Remainder of 2^8/9 =4

The remainder start repeating after 2^6 so the cyclicity is 6.
So 2^86 =2^(84+2)will have the same remainder as 2^2 when divided by 9. So the remainder is 4.

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