Question

Please beautiful people help me out.

Answer 1

`z^{(5)/(6)}`

Explanation:

`\frac{z^{(1)/(3)}}{z^{-(3)/(4)}z^{(1)/(4)}}`

`z^{-(3)/(4)}z^{(1)/(4)}`

`=z^{-(3)/(4)+(1)/(4)}`

`=\frac{z^{(1)/(3)}}{z^{-(3)/(4)+(1)/(4)}}`

`=z^{(1)/(3)-\left((1)/(4)-(3)/(4)\right)}`

`=z^{(5)/(6)}`