b) \( \left(2 \cdot 10^{2}\right)^{-1} \)

First, let's break it down! The expression \( \left(2 \cdot 10^{2}\right)^{-1} \) means we need to take the reciprocal of \( 2 \cdot 10^{2} \). So, first calculate \( 2 \cdot 10^{2} = 200 \). Taking the reciprocal gives us \( \frac{1}{200} \). If you want to express this in decimal form, it equals \( 0.005 \). Now, here's a fun twist: Did you know that scientific notation is super handy when dealing with very large or very small numbers? Instead of saying "0.005", you can express the same value as \( 5 \times 10^{-3} \). This makes it easier to communicate numerical values, especially in scientific contexts where precision is key!