Question

what is the unit digit in (7^⁹⁵-3^⁵⁸)​

Answer 1

Answer:

7,9,3,1,7,9,3,1...

this is the pattern for unit digit of 7^n,where n is the natural number.

3,9,7,1,3,9,7,1..

this is the pattern for unit digit of 7^n,where n is the natural number.

we saw that unit digit is repeating every 4 natural number

so unit digit of 7^95 is 3

because when we divide 95 by 4 we get the reminder 3,so unit digit of 7^95=unit digit of 7^3=3

again the unit digit of 3^58 is 9

because when we divide 58 by 4 we get the reminder 2,so unit digit of 3^58=unit digit of 3^2=9