Answer:
To simplify the given expression using the properties for exponents.
![(-(2)/(z))^(-1)](https://img.qammunity.org/2023/formulas/mathematics/college/ic8jup3n66gqx9n99bshsa08a0xsqh2nqh.png)
From the definition,
An exponent of a number, represents the number of times the number is multiplied to itself.
![(1)/(a^n)=a^(-n)](https://img.qammunity.org/2023/formulas/mathematics/college/p3q7iakq5h29cc006yxdvdtkd7aqsujbmg.png)
we have thw property of exponent as,
![((a)/(b))^n=((b)/(a))^(-n)](https://img.qammunity.org/2023/formulas/mathematics/college/isrkaro39ljyl0dwb9dxn82dsndyucxqvv.png)
Using this property we get,
![(-(2)/(z))^(-1)=(-(z)/(2))^1](https://img.qammunity.org/2023/formulas/mathematics/college/4it0uk4fyqy8hpd3zmwfeicxa5ugb6kw53.png)
Answer is:
![(-(z)/(2))^1](https://img.qammunity.org/2023/formulas/mathematics/college/a4cptc0vifa2m386d92gopw12t690du5o1.png)