Question

Can someone solve this and explain how they did it please?

Answer 1

The expression written in the form k × zⁿ is

`{5} * z^{ (( - 5)/(3)) }`

How to solve exponents?

`\frac{10 \sqrt[3]{z} }{ {2z}^(2) }`

`= \frac{(10 {z})^{ (1)/(3) } }{ {2z}^(2) }`

`= 10 {z}^{ (1)/(3) } / {2z}^(2)`

`= {5}z^{( (1)/(3) - 2) }`

`= {5}z^{ ((1 - 6)/(3)) }`

`= {5}z^{ (( - 5)/(3)) }`

Therefore, the solution is

`{5} * z^{ (( - 5)/(3)) }`