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Find the unit...

Question

Find the unit digit in $(8^{74} - 5^{63})$ ?

A

1

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B

3

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C

4

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D

9

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Solution

The correct option is D 9
$8^{74} - 5^{63}$
Unit digit of $8^{74} = 8^{4 \times 18 + 2} = 8^{2} = 4$
Unit digit of $5^{63} = 5$
So, required unit digit $4 - 5 = 14 - 5 = 9$
Hence, the correct option is D

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