Question

What is the simplified form of the expression.

Answer 1

$\left((p^2)(q^5)\right)^{-4}\cdot\left((p^{-4})(q^5)\right)^{-2}= \\ \\(p^{-8}q^{-20})\cdot(p^8q^{-10})= \\ \\ p^{-8+8}\cdot q^{-20+(-10)}=\\\\p^0 \cdot q^{-30}= \\ \\ \cfrac{1}{q^{30}}$