Answer:
[tex] \dfrac{p^{7} q}{160} [/tex]
Step-by-step explanation:
[tex] \dfrac{(4p^-4 q)^-2}{10pq^-3} = [/tex]
[tex] = \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3} [/tex]
[tex] = \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)} [/tex]
[tex] = \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3} [/tex]
[tex] = \dfrac{1}{160}p^{7} q [/tex]
[tex] = \dfrac{p^{7} q}{160} [/tex]
