What is the unit digit of ( 6 28 − 3 22 ) ? Options: A . &nbsp 7 B . &nbsp 6 C . &nbsp 3 D . &nbsp Cannot be determined

What is the unit digit of (628−322)?

Question

What is the unit digit of $(6^{28} - 3^{22})$ ?

Options:

A . 7

B . 6

C . 3

D . Cannot be determined

Answer: Option A
:
A

Unit digit of $6^{28}$ is 6 and unit digit of $3^{22}$ is 9 (since $22 = 4 k + 2$ ). So, unit digit of given expression is $(16 - 9) = 7$ .

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