Answer:
![\large\boxed{-(1)/(81) }](https://img.qammunity.org/2021/formulas/mathematics/high-school/5lhtxqx8w905buivt9el9jlv1q47s1ch8s.png)
Explanation:
Hi!
To answer this question, we'll need to recall the properties of exponents:
![\longmapsto\bold{x^(-m)=\displaystyle(1)/(x^m)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/7gcms61drzqhfve1fdwty16022437a8540.png)
According to the property, we should take the number x and flip it over.
Now let's solve:
![\longmapsto\bold{-3^(-4)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/qww4j4l0q1nci3kvcqy0r0yjsb9utlfc7f.png)
Flip it over:
![\longmapsto\bold{\displaystyle(1)/(-3^4)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/vc38cm9unbkikuakps2eon7f1trvyejgqe.png)
Simplify:
![\longmapsto\bold{-\displaystyle(1)/(81)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/tqkvhall74pg07h2sk3f2zvqybypkum8qy.png)
Have a nice day! :)
- Creative Daydreamer