Answer:
[tex] {16n}^{3} [/tex]
Step-by-step explanation:
We want to simplify:
[tex] \frac{16}{ {n}^{ - 3} } [/tex]
To simplify this, we need to write the negative index as positive.
So we use the property,
[tex] \frac{1}{ {a}^{ - n} } = {a}^{n} [/tex]
When we apply this property, we get:
[tex]\frac{16}{ {n}^{ - 3} } = \: 16 \times \frac{1}{ {n}^{ - 3} } =16 {n}^{3} [/tex]
Therefore the fourth option is correct.