Answer:
D. 4
Step-by-step explanation:
[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\
=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\
=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\
=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\
=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\
=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\
=p^{2}\times q^{-4} \\\\
= \frac{p^2}{q^4}\\\\
= \frac{(-2)^2}{(-1)^4}\\\\
= \frac{4}{1}\\\\
= 4[/tex]
