What is the unit digit of 7to the power 105?
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when 7^2, then unit digit is 9
when 7^3 , then unit digit is 3
when 7^4, then unit digit is 1
when 7^5 , then unit digit is 7
when 7^6, then unit digit is 9
as we can see unit digit repeats itself after every 4th power.
104 is divisible by 4 so at ^104 unit digit will be 7,so at ^105 unit digit will be 9.
when 7^3 , then unit digit is 3
when 7^4, then unit digit is 1
when 7^5 , then unit digit is 7
when 7^6, then unit digit is 9
as we can see unit digit repeats itself after every 4th power.
104 is divisible by 4 so at ^104 unit digit will be 7,so at ^105 unit digit will be 9.
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