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unit digit of any number is always the remainder of 10 when that number is divided by 10. Remainder 2/10=2 2^2/10=4(by remainder theorem) 2^3/10=8(by remainder theorem) 2^4/10=6(by remainder theorem) Now it will start repeating in grp of 4. So 99/4 remainder will be 3. so remainder will be same as 2^3/10=8

Principle to calculate remainder. 1) divide the exponent by 4, and find remainder. 2) unit digit of expression will be the unit digit of base raised to power of remainder. If remainder is 0. Raise to power of 4.

Here the remainder 99/4 is 3 So answer will be unit digit of 2^3= 8