Answer:
Third option.
![(p^3)/(n^(6))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zpdhqqnxifi27yjfy0oykpb66altylhta8.png)
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:
Where
![b \\eq0](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7qdxq2fy6lv8rcj54x4iggjwobi2328qot.png)
As you can observe,
is the reciprocal of
![b^(-n)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sxelif2qnhrj54oggn0zy4cjgj8yboubru.png)
In this case you have the following expression given in the exercise:
![n^(-6)p^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/x7h20anpi6o0w7myqa695dvp5l5elll83c.png)
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
is the one shown below:
![n^(-6)p^3=(p^3)/(n^(6))](https://img.qammunity.org/2021/formulas/mathematics/middle-school/j6ai0dsq5ch949b97gc7e5qo7n50ewe0z6.png)