Answer
False, $-7^{6}=-(7^{6})$
Work Step by Step
$-7^{6}=-(7^{6})=-(7\times7\times7\times7\times7\times7)=-(117649)=-117649$
$(-7)^{6}=(-7\times-7\times-7\times-7\times-7\times-7)=117649\ne-117649$
Therefore, we know that $-7^{6}=-(7^{6})$.