Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
The final answer is 16.
Solution
1. Write the expression:
\[
-3^{2} + 5^{2}
\]
2. Evaluate the powers:
- For \(5^{2}\):
\[
5^{2} = 25
\]
- For \(-3^{2}\):
\[
-3^{2} \text{ is evaluated as } -(3^{2}) = -(9) = -9
\]
3. Substitute the evaluated powers into the expression:
\[
-9 + 25
\]
4. Add the numbers:
\[
-9 + 25 = 16
\]
The final answer is \(16\).
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Simplify this solution Beyond the Answer
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!
