For this case, we have that by definition:
[tex](-0.5) ^ 3 = -0.125[/tex]
Then we can rewrite the given expression as:
[tex]\sqrt [3] {(- 0.5) ^ 3}[/tex]
For properties of roots we have that:
[tex]\sqrt [n] {(a) ^ n} = a[/tex]
So:
[tex]\sqrt [3] {(- 0.5) ^ 3} = - 0.5[/tex]
So, we have to:
[tex]\sqrt [3] {- 0.125} = - 0.5[/tex]
ANswer:
Option A
