Question

The digit in the unit's place of the resulting number of the expression $48 	imes (234)^{100} + (234)^{101}$ is

Accepted Answer

B. Unit digit of $(234)^{100}$ (even power of 4) is 6. Unit digit of $(234)^{101}$ (odd power of 4) is 4. Unit digit of $48 	imes 6 + 4$ is the unit digit of $8 	imes 6 + 4 = 48 + 4 = 52$, which is 2.

Unit Digit of Power Expression

Explanation

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