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Question: Answered & Verified by Expert
The last digit of number $7^{886}$ is
MathematicsBinomial TheoremKCETKCET 2012
Options:
  • A 9
  • B 7
  • C 3
  • D 1
Solution:
1387 Upvotes Verified Answer
The correct answer is: 9
Since, $\quad 7^{1}=7$
$7^{2}=49,7^{3}=343,7^{4}=2401$
$\therefore \quad 7^{886}=\left(7^{4}\right)^{221} 7^{2}$
$\therefore$ The last digit number $7^{886}$ is 9 .

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