Fill in the blanks!

Let's fill in the blanks for the given expressions.

1. For the expression \( m^{(5)} n^{(-2)} \):
\[
m^{(5)} n^{(-2)} = (m^{(5)}) (n^{(-2)}) \\
= (m^{(5)} \cdot \frac{1}{n^{(2)}}) \\
= \frac{m^{(5)}}{n^{(2)}}
\]
Therefore, the blanks are:
\( m^{(5)} n^{(-2)} = (m^{(5)}) (n^{(-2)}) = (m^{(5)} \cdot \frac{1}{n^{(2)}}) = \frac{m^{(5)}}{n^{(2)}} \).

2. For the expression \( j^{(-6)} p^{(-9)} \):
\[
j^{(-6)} p^{(-9)} = (j^{(-6)})(p^{(-9)}) \\
= \left(\frac{1}{j^{(6)}}\right) \left(\frac{1}{p^{(9)}}\right) \\
= \frac{1}{j^{(6)} p^{(9)}}
\]
Therefore, the blanks are:
\( j^{(-6)} p^{(-9)} = (j^{(-6)}(p^{(-9)}) = \left(\frac{1}{j^{(6)}}\right) \left(\frac{1}{p^{(9)}}\right) = \frac{1}{j^{(6)} p^{(9)}} \).

So the completed expressions are:

1. \( m^{(5)} n^{(-2)} = (m^{(5)}) (n^{(-2)}) = (m^{(5)} \cdot \frac{1}{n^{(2)}}) = \frac{m^{(5)}}{n^{(2)}} \)

2. \( j^{(-6)} p^{(-9)} = (j^{(-6)})(p^{(-9)}) = \left(\frac{1}{j^{(6)}}\right) \left(\frac{1}{p^{(9)}}\right) = \frac{1}{j^{(6)} p^{(9)}} \)