b) \( \frac{5^{-1}}{2^{-2}} \)

To make things easier, remember that \(5^{-1}\) is the same as \(\frac{1}{5}\) and \(2^{-2}\) is \(\frac{1}{2^2} = \frac{1}{4}\). So, you can rewrite the expression as \(\frac{\frac{1}{5}}{\frac{1}{4}}\). Dividing by a fraction is like multiplying by its reciprocal, which gives you \(\frac{1}{5} \times 4 = \frac{4}{5}\)! Now you have the simplified solution, but why stop there? This kind of manipulation is like a cool math magic trick, revealing intricacies of how numbers play together. Remember, every fraction has a story—it’s just waiting for you to unearth it!