Answer:
Third option. [tex]\frac{p^3}{n^{6}}[/tex]
Step-by-step explanation:
For this exercise you need to remember one of the properties for exponents.
There is a property called the "Negative property of exponents" which states the following:
[tex]b^{-n}=\frac{1}{b^n}[/tex]
Where [tex]b \neq0[/tex]
As you can observe, [tex]b^n[/tex] is the reciprocal of [tex]b^{-n}[/tex]
In this case you have the following expression given in the exercise:
[tex]n^{-6}p^3[/tex]
Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.
Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.
Then, the simplified form of [tex]n^{-6p^3}[/tex] is the one shown below:
[tex]n^{-6}p^3=\frac{p^3}{n^{6}}[/tex]
