Question

find the remainder when 11^12 IS DIVIDED BY 10

Answer 1

Hey sup!
As per the question,
11÷10 gives remainder 1.
11^2÷10=121÷10 gives remainder 1.
11^3÷10=1331÷10 gives remainder 1.
So, the remainder will always be 1 as any number is divisible by 10 if it's unit digit is 0and unit digit of 11^12 or 11^101 or 11 to the any power will always be 1.
So, 1-0=1

Hope it helps.

Answer 2

11^12=11×11×11×11×11×11×11×11×11×11×11×11
=3138428376721.
11^12/10=313842837672•1.
It leaves a remainder of 10.