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

To simplify the expression \( (3 a b)^{2} \div 3 a b \), first, we evaluate \( (3 a b)^{2} \), which equals \( 9 a^{2} b^{2} \). Now, dividing this by \( 3 a b \), we have: \[ \frac{9 a^{2} b^{2}}{3 a b} = 3 a b \] So, the simplified form of the expression is \( 3 a b \). Now that we've got that sorted out, let's have some fun! Every time you encounter an expression like this, remember it’s like solving a mystery. You break down the clues (or terms) one at a time, and soon you’ll uncover the solution! Also, understanding the properties of exponents can make these calculations much smoother. Remember, when dividing like bases, subtract the exponents—it's one of those nifty little tricks that save you time and effort in algebra! Keep practicing, and soon you'll be a master of simplifications!