Answer:
see explanation
Step-by-step explanation:
The answer is - [tex]\frac{2}{17}[/tex] , since
[tex](-\frac{2}{17}) ^{3}[/tex]
= - [tex]\frac{2}{17}[/tex] × - [tex]\frac{2}{17}[/tex] × - [tex]\frac{2}{17}[/tex]
= [tex]\frac{4}{289}[/tex] × - [tex]\frac{2}{17}[/tex]
= - [tex]\frac{8}{4913}[/tex]
that is
[tex]\sqrt[3]{-\frac{8}{4913} }[/tex] = - [tex]\frac{2}{27}[/tex] because [tex](-\frac{2}{17}) ^{3}[/tex] = - [tex]\frac{8}{4913}[/tex]
