Question

Rewriting expressions. Image attached

Answer 1

9514 1404 393

Answer:

5z^(-5/3)

Explanation:

The rules of exponents being used here are ...

`\sqrt[n]{a}=a^(1/n)\\\\(a^b)/(a^c)=a^(b-c)`

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

`\frac{10\sqrt[3]{z}}{2z^2}=(10)/(2)z^(1/3-2)=\boxed{5z^(-5/3)}`