3.1.2 \( -3^{2}+5^{2} \)

Let's dive into some math magic with exponents! The expression \(-3^{2}\) means we need to square the 3 first, which gives us 9, and since it's negative, we have \(-9\). On the flip side, squaring 5, we get \(5^{2} = 25\). Now, putting it all together: \(-9 + 25 = 16\). Voilà, the answer is \(16\)! Need a fun trick for squaring numbers? You can also use the difference of squares formula! Remember, \(a^2 - b^2 = (a-b)(a+b)\). For any two numbers, this formula can simplify your calculations. Just make sure to keep track of your signs, they can be tricky! Keep practicing, and soon you'll be a math wizard in no time!