Simplify 3√-125n^12 A) -5n^9 B) -5n4 C) 5n4
2 answers:
Answer:
the answer is B) i had the same question and it was right
Step-by-step explanation:
For this case, we must simplify the following expression:
![\sqrt [3] {- 125n ^ {12}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B-%20125n%20%5E%20%7B12%7D%7D)
By definition of properties of roots and powers we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
In addition, we have to:
![\sqrt [3] {- 125} = - 5](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B-%20125%7D%20%3D%20-%205)
So:
![\sqrt [3]{- 125n ^ {12}} = - 5n^ {\frac {12} {3}} = - 5n^ 4](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%7B-%20125n%20%5E%20%7B12%7D%7D%20%3D%20-%205n%5E%20%7B%5Cfrac%20%7B12%7D%20%7B3%7D%7D%20%3D%20-%205n%5E%204)
Answer:

Option B
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