If $\log\ p = x$ and $\log\ q = y$, evaluate the following in terms of $x$ and $y$:

(a) $\log\ (p^{-6} q^{1}) =$

(b) $\log\ \sqrt{p^{-6} q^{5} } =$

(c) $\displaystyle \log\ \frac{p^{9}}{q^{1}} =$

(d) $\displaystyle \frac{\log\ p^{-5} }{\log\ q^{4} } =$

(e) $(\log\ p^{-2} )^{2} =$