Question

The last digit of $8^{1026}$ is.

• A. $8$
• B. $4$
• C. $2$
• D. $6$

Answer 1

The correct option is B $4$

$\text{The last digit of powers of '8' always}$
$\text{repeat in a cycle of 8, 4, 2,6}$.
$\text{divide 1026 by 4. Quotient is 256 and remainder is 2}$.
$\text{The pattern will repeat 256 times plus 2 more times}$.
$\text{The second digit in the sequence is 4}$.
$\therefore \text{the last digit of}{8}^{1026}\text{is}4.$