Question 4
The digit in the unit's place of the resulting number of the expression $$ 48 \left(234\right)^{100}+\left(234\right)^{101}$$ is
Solution
The unit digit of the expression will be equal to the unit digit of:
$$48\times\ 4^{100}+4^{101}$$.
Odd powers of 4 gives 4 as the unit digit and even powers give 6.
So, the unit digit will be the unit digit of 8*6 + 4 i.e. 2.
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