Find (i) the last digit, (ii) the last two digits, and (iii) the last three digits of `17^(256)dot`

Find the last three digits of the number 27^(27)dot

Find the last two digits in the number 11^(100)

Find the last two digits of the number 7^(400)

Find the last digits of the number 7^(400) .

Find the last two digits of the number 3^(600) .

Find the last two digits of the number (23)^(14)dot

What is the last digit of 6^(100) .

The sum of last 3 digits of 3^100 is

Count the numbers between 999 and 10,000 subject to the condition that there are . (i) no restriction . (ii) no digit is repeated . (iii) at least one of the digits is repeated .