Question

Choose the correct simplification of the expression 16 over n to the negative third power. n to the third power over 16 16 over n to the third power 16n3 This expression is already simplified.

Answer 1

Answer:

${16n}^{3}$

Step-by-step explanation:

We want to simplify:

$\frac{16}{ {n}^{ - 3} }$

To simplify this, we need to write the negative index as positive.

So we use the property,

$\frac{1}{ {a}^{ - n} } = {a}^{n}$

When we apply this property, we get:

$\frac{16}{ {n}^{ - 3} } = \: 16 \times \frac{1}{ {n}^{ - 3} } =16 {n}^{3}$

Therefore the fourth option is correct.