Respuesta :

Answer:

2

Step-by-step explanation:

We have to get the value of the expression of - ∛(- 8).

Now, we can write the expression as  

- ∛(- 8)  

=[tex]-\sqrt[3]{-8}[/tex]

= [tex]-(-8)^{\frac{1}{3} }[/tex] {Converting into exponent form}

= [tex]-[(-2)^{3} ]^{\frac{1 }{3} }[/tex] {Since (- 2) × (- 2) × (- 2) = - 8}

= [tex]- [(-2)^{3\times \frac{1}{3} } ][/tex]{Since we know that  [tex][x^{a}] ^{b} = x^{ab}[/tex]}

= - [- 2]

= 2 (Answer)