Answer:
[tex]-\frac{1}{\sqrt[3]{3}}[/tex]
Step-by-step explanation:
To do this we can ask ourselves "What number multiplied three times by itself is _____?" In this case we have -27 and 81. We see that -3*-3*-3=-27. We also see that 3*3*3*3=81. This means that [tex]\sqrt[3]{-27}=-3,[/tex] and [tex]\sqrt[3]{81} = 3\sqrt[3]{3}.[/tex]
The fraction we get is [tex]\frac{-3}{3\sqrt[3]{3} }[/tex], and we can simplify to get [tex]-\frac{1}{\sqrt[3]{3}}[/tex].
