Answer
See answers below
Work Step by Step
a) $(x^{-2})^2(3xy^5)^4 $
$=x^{-4}3^4x^4(y^5)^4$
$=81y^{20}$
b) $ (3c^{\frac{5}{2}})^4(c^2)^3 $
$=3^4(c^{\frac{5}{2}})^4c^6$
$=81c^{16}$
c) $(6ab)^3(5a^{-3})^2$
$=6^3a^3b^35^2(a^{-3})^2$
$=5400a^{-3}b^3$
$=\frac{5400b^3}{a^3}$