If $(-1)^{n}+(-1)^{8}=0$, then $n$ is :\

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Professor PC Thomas Classes · Answer

(c) : We have, $(-1)^{n}+(-1)^{8}=0 \Rightarrow(-1)^{n}+1=0 \Rightarrow(-1)^{n}=(-1)$\ On comparing the powers, we get $n=1,3,5$, $\_\_\_\_$\ ∴ Hence, $n$ is any odd number.