Question

the digit at unit place of number 3017 to the power of 3017​

Answer 1

Step-by-step explanation:

This is simple to find the unit digit you only need to look at the unit digit and the power and not a whole number so the unit of 3017 ^3017 is be the same unit of 7 ^7

Now ,

7^0 = 1

7^1 = 7

7^ 2 =49 ( unit digit is 9)

7^3 = 343 (unit digit is 3)

7^4 = 2401 (unit digit is 1 , repetition start)

Hence , 3017 /4 given remainder 1 The obervastion is that the the same unit repetition itself interval of 4 hece we divide the power of by four and check the digit 7 raised the power remainder abtained

(Hence the answer is 7 )

Hope it helps you.....