The problem in the image asks to rewrite the expression $\frac{1}{n^{-2}}$ using a positive exponent and then simplify.

Step-by-Step Solution:

1. The expression given is:

   $\frac{1}{n^{-2}}$

2. To convert the negative exponent into a positive exponent, apply the property of exponents:

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

3. Therefore, applying this property:

   $\frac{1}{n^{-2}} = n^{2}$

Thus, the simplified expression with positive exponents is:

$n^2$

Would you like more details or further clarifications on this? Here are five related questions you might want to explore:

1. What is the general rule for handling negative exponents?
2. How do you simplify expressions with multiple exponents?
3. How would the expression change if the exponent were positive instead of negative?
4. What are some other properties of exponents that are useful in simplifying expressions?
5. How do you handle fractions with exponents in both the numerator and the denominator?

Tip: Always remember that a negative exponent means you take the reciprocal of the base raised to the positive exponent.