For this case, we must simplify the following expression:
[tex]\sqrt [3] {- 125n ^ {12}}[/tex]
By definition of properties of roots and powers we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
In addition, we have to:
[tex]\sqrt [3] {- 125} = - 5[/tex]
So:
[tex]\sqrt [3]{- 125n ^ {12}} = - 5n^ {\frac {12} {3}} = - 5n^ 4[/tex]
Answer:
[tex]-5n ^ 4[/tex]
Option B
