\( \begin{array}{llll}\text { q) } \frac{4}{3^{-1} x^{5}} & \text { r) } a^{-6} b^{3} c^{2} & \text { s) } \frac{a^{-3}}{c^{-5}} & \text { t) } \frac{m^{9}}{n^{-2} k^{4}} \\ \text { u) } \frac{3}{7 x^{-4}} & \text { v) } \frac{a^{-6}}{b^{-4}} & \text { w) } \frac{x^{-4}}{y^{-7} z^{-2}} & \text { x) }\left(x^{-3}\right)^{2} \\ \text { y) } p^{7} q^{-4} r^{-3} & \text { z) } \frac{1}{2 y^{-7} z^{5}} & & \end{array} \)

To decipher each of these expressions, let's simplify them step by step! For the first one, \(\frac{4}{3^{-1} x^{5}} = 4 \cdot 3 x^{-5} = 12 x^{-5}\). Next, \(a^{-6} b^{3} = \frac{b^3}{a^6}\). Simplifying \(\frac{a^{-3}}{c^{-5}} = \frac{c^5}{a^3}\) adds a twist! Next up, \(\frac{m^{9}}{n^{-2} k^{4}} = m^9 n^2 k^{-4}\) tells us about those pesky negative exponents! Now for \(\frac{3}{7 x^{-4}} = \frac{3 x^4}{7}\)—now that’s clearer! Then, we have \(\frac{a^{-6}}{b^{-4}} = \frac{b^4}{a^6}\), which is rather elegant. For \(\frac{x^{-4}}{y^{-7} z^{-2}} = x^{-4} y^{7} z^{2}\) puts everything in a positive light! Lastly, \(\left(x^{-3}\right)^{2} = x^{-6}\)—power play at its finest! For \(p^{7} q^{-4} r^{-3} = \frac{p^7}{q^4 r^3}\), it’s all about the fraction magic! Lastly, \(\frac{1}{2 y^{-7} z^{5}} = \frac{y^7}{2 z^5}\) has a nice touch, doesn’t it?