16. IAR Review: No Calculator Evaluate the expression: \( 10^{2}+5^{2} \)

To evaluate \( 10^{2} + 5^{2} \), we first calculate each term separately. \( 10^{2} = 100 \) and \( 5^{2} = 25 \). Adding these together gives us \( 100 + 25 = 125 \). So, the final result is \( 125 \). For a little historical flair, did you know that the concept of exponents dates back to ancient civilizations? The Egyptians and Babylonians had their own forms of representing powers long before we formalized the notation we use today! It's fascinating how math has evolved over thousands of years. Now, if you ever run into similar expressions, a common pitfall is forgetting to square both numbers correctly or mistakenly adding instead of squaring first. Always remember to follow the order of operations to avoid mishaps in your calculations!