Answer:
z²/2
Step-by-step explanation:
The applicable properties of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
[tex](4z)^{-3}\cdot(2z)^5=(4^{-3})(z^{-3})(2^5)(z^5)=\dfrac{32}{64}z^{-3+5}\\\\=\boxed{\dfrac{z^2}{2}}[/tex]
