The digit in the unit's place of $5^{834}$ is:

$0$

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$1$

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$3$

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$5$

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Solution

The correct option is D
$5$

Finding the digit in units place:
The given number is $5^{834}$
Calculating the value of different powers of $5$ .
$5^{1} = 5 5^{2} = 25 5^{3} = 125 5^{4} = 625$
We see that the unit's place is always $5$ for any power raised to the number $5$ .
We can conclude that unit's digit of $5^{k}, k \in N$ is always $5$ .
Hence, the correct answer is Option (D).

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The digit in the unit's place of 5834 is:

The digit in the unit's place of $5^{834}$ is: