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# Discussion

What is the unit digit of $$13^{35}$$ ?

• A.1
• B.3
• C.4
• D.7

$$13^{1}$$ has unit digit $$3$$
$$13^{2}$$ has unit digit $$9$$
$$13^{3}$$ has unit digit $$7$$
$$13^{4}$$ has unit digit $$1$$
This will form a pattern $$3-7-9-1$$
So, $$13^{32}$$ has unit digit $$1$$
$$13^{35}$$ has unit digit as $$7$$

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