Question

Rewrite the expression in the form z^n

Answer 1

`{z}^{ (1)/(2) }`

Explanation:

`\huge \sqrt[5]{ {z}^(4) {z}^{ - (3)/(2) } } \\ \\ = \huge \sqrt[5]{ {z}^{4 - (3)/(2) } } \\ \\ = \huge \sqrt[5]{ {z}^{ (8 - 3)/(2) } } \\ \\ = \huge \sqrt[5]{ {z}^{ (5)/(2) } } \\ \\ = \huge {z}^{ (5)/(2) * (1)/(5) } \\ \\ = \huge {z}^{ (1)/(2) }`