\[\frac{b^{- 7}}{b^{- 4} \cdot b^{- 2}} = \frac{b^{- 7}}{b^{- 6}} = b^{- 1};\]
\[b = - \frac{1}{5}:\]
\[\left( - \frac{1}{5} \right)^{- 1} = ( - 5)^{1} = - 5.\]