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Answer:
5z^(-5/3)
Step-by-step explanation:
The rules of exponents being used here are ...
[tex]\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}[/tex]
Using these rules on the given expression, we find ...
[tex]\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}[/tex]
