What is the unit's digit of 125^{125} + 216^{ | vedclass

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(B) To find the unit's digit of $125^{125} + 216^{216}$,we analyze the unit digits of each term separately.For the first term,$125^{125}$,the base end

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(B) To find the unit's digit of $125^{125} + 216^{216}$,we analyze the unit digits of each term separately.For the first term,$125^{125}$,the base ends in $5$. Any power of a number ending in $5$ will always have $5$ as its unit's digit. Thus,the unit's digit of $125^{125}$ is $5$.For the second term,$216^{216}$,the base ends in $6$. Any power of a number ending in $6$ will always have $6$ as its unit's digit. Thus,the unit's digit of $216^{216}$ is $6$.Adding these unit's digits together,we get $5 + 6 = 11$.The unit's digit of $11$ is $1$.Therefore,the unit's digit of $125^{125} + 216^{216}$ is $1$.

What is the unit's digit of $125^{125} + 216^{216}$?

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