Question

Rewriting expressions. Image attached

Answer 1

9514 1404 393

Answer:

  5z^(-5/3)

Step-by-step explanation:

The rules of exponents being used here are ...

  $\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}$

Using these rules on the given expression, we find ...

  $\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}$