The unit digit in the sum (124)^{372} + (124) | vedclass

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Question

(D) The unit digit of $124$ is $4$. We need to find the unit digit of $4^{372} + 4^{373}$.Observe the pattern of powers of $4$:$4^1 = 4$ (unit digit $

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(D) The unit digit of $124$ is $4$. We need to find the unit digit of $4^{372} + 4^{373}$.Observe the pattern of powers of $4$:$4^1 = 4$ (unit digit $4$)$4^2 = 16$ (unit digit $6$)$4^3 = 64$ (unit digit $4$)$4^4 = 256$ (unit digit $6$)If the exponent is odd,the unit digit is $4$. If the exponent is even,the unit digit is $6$.For $(124)^{372}$,the exponent $372$ is even,so the unit digit is $6$.For $(124)^{373}$,the exponent $373$ is odd,so the unit digit is $4$.The sum of the unit digits is $6 + 4 = 10$.Therefore,the unit digit of the sum is $0$.

The unit digit in the sum $(124)^{372} + (124)^{373}$ is

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