Question

find the unit digit in (2487)395

Answer 1

if it is simple multiplicaton than 7*5=35
thus 5 will be its unit digit

Answer 2

Answer:

The unit digit is 3.

Step-by-step explanation:

Given number is,

$(2487)^{395}$

Since, here, the unit digit of the number inside the exponent is 7,

Thus, the unit digit of the given number will be same as the unit digit of the number $7^{395}$

We know that, the unit digits of $7^{1}$ = 7,

Unit digits of $7^{2}$ = 9,

Unit digits of $7^{3}$ = 3,

Unit digits of $7^{4}$ = 1,

Now,

$7^{395}=7^{392}.7^3=(7^4)^{98}.(3)=1^{98}.3=3$

So, the unit digit of $7^{395}$ = 3,

Hence, the unit digit of $(2487)^{395}$ = 3.