2137 power 753.what is the digit in units place
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It's 9 right or wrong?
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7 has cyclicity of 4
i.e
7^1 =7
7^2 = 49
7^3 = 343
7^4 = 2401
7^5 = ...7
So unit place is in order (7,9,3,1), just divide the power by 4 to get the remainder.
if remainder 0 then unit is 1
if remainder 1 then unit is 7
if remainder 2 then unit is 9
if remainder 3 then unit is 3
if power 753
753/4 = 188 (1/4) i.e remainder is 1
>> unit place is 7
i.e
7^1 =7
7^2 = 49
7^3 = 343
7^4 = 2401
7^5 = ...7
So unit place is in order (7,9,3,1), just divide the power by 4 to get the remainder.
if remainder 0 then unit is 1
if remainder 1 then unit is 7
if remainder 2 then unit is 9
if remainder 3 then unit is 3
if power 753
753/4 = 188 (1/4) i.e remainder is 1
>> unit place is 7
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