2. \( \frac{(-3)^{4}}{(-3)^{3}} \)

First, let's simplify the expression using the laws of exponents. According to the exponent rules, when you divide two powers with the same base, you subtract the exponents. So, \( \frac{(-3)^{4}}{(-3)^{3}} = (-3)^{4-3} = (-3)^{1} = -3 \). Now, let's see how this applies! This kind of simplification is super useful in math, especially when dealing with larger expressions. Instead of calculating the powers independently, understanding the laws of exponents helps to make calculations quicker and easier, saving time during exams or homework. Also, watch out for common mistakes! A frequent error is confusing addition and multiplication of exponents. Remember that when dividing, always subtract the exponents! This clarity can make all the difference in getting the right answer.