$\text{Opposite} = -5^4$

$\text{Reciprocal} = -5^4=\frac{1}{5^4}$

$\text{Opposite} = -3^{-5}$

$\text{Reciprocal} = 3^5$

$\text{Opposite} = 11^{-6}$

$\text{Reciprocal} = -11^6$

$\text{Opposite} = -\frac{2}{7}$

$\text{Reciprocal} =\frac{7}{2}$

$\text{Opposite} = -\left(\frac{11}{9}\right)^2$

$\text{Reciprocal} = \left(\frac{11}{9}\right)^{-2}= \left(\frac{9}{11}\right)^{2}$

$\text{Opposite} = -\left(\frac{7}{13}\right)^{-5}$

$=\left(-\frac{7}{13}\right)^{-5}$

$\text{Reciprocal} = \left(\frac{7}{13}\right)^{5}$