Question

find the digit at the unit place of the number 3^2019​

Answer 1

Answer:

unit digit will be 7

Step-by-step explanation:

Divide power by 4

2019/4= remainder 3

put this remainder as number's power

${3}^{3} = 27$

so unit digit will be 7

For finding unit digit we divide the power by 4

because every fifth time unit digit is repeated

2^1 = 2

2^2 = 4

2^3 = 8

2^4= 16

2^5= 32 (unit digit is same as 1st one)

2^6= 64

2^7 =128

2^8=256

you can try it any no whether it is 2 or 27