Question

find the digit at unit place of the no is 3^2019​

Answer 1

Answer:

it will be 9.

Hope my answer helps you mate

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Answer 2

Answer:

7

Step-by-step explanation:

The digit at the units place is only affected by the original digit at the units place. In this case that number is 3. We only need to find what is the value of  3^2019.  

Now the interesting thing is that powers of 3 have recurring occurences of unit place digits.

3^1=3  

3^2=9  

3^3=27  

3^4=81  

3^5=243  

This basically shows that the unit place digit at  3^n is equal to 3^n+4m where m has integer values.

Now we just need to divide 2019 by 4 and see what the reminder this would be the value of n for the base case of 3 raised to a number. Here the reminder for 2019 divided by 4 is 3 . Hence the last digit would be same as the last digit for  3^3 for which the last digit is 7.

Hence the last digit would be 7.