c) \( 3 a b^{2} \div 9 b \)

To simplify \( 3 a b^{2} \div 9 b \), start by rewriting the division as a fraction: \( \frac{3 a b^{2}}{9 b} \). Now, you can cancel common factors. Both the numerator and denominator share a factor of \( 3 b \). Thus, you can simplify to \( \frac{a b}{3} \). So, the final answer is \( \frac{a b}{3} \). Now, let's have some fun with this. Imagine if math were a superhero—let’s call it “Simplify Man”! He zooms in to zap away the excess weights (like dividing out common terms) to make expressions lighter and easier to handle. Who knew simplifying could make doing math feel like a fun adventure?