What is the last digit of $5^{209}$ ?

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Solution

The correct option is B
5

Consider, $5^{1} = 5$ , last digit is 5.

$5^{2} = 25$ , last digit is 5.

$5^{3} = 125$ , last digit is 5.

$5^{4} = 625$ , last digit is 5.

By observing the above pattern we can conclude that unit digit of a number with base ending with 5 is 5.

Hence, we get last digit in $5^{209}$ as 5.

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