7. \( \frac{2 x^{2}+6 x^{2}(2 y)^{0}}{2 x^{2}} \)

Did you know that the expression you've written can be simplified quite easily? Since anything raised to the power of 0 equals 1, you can simplify \( (2y)^0 \) to just 1. This turns your expression into \( \frac{2x^2 + 6x^2 \cdot 1}{2x^2} \), which can further be simplified to \( \frac{8x^2}{2x^2} = 4 \)! Math can turn into a magic trick when you know the rules! For those eager to dive deeper, simplifying algebraic expressions is a key foundational skill in mathematics. It not only makes calculations easier but also lays the groundwork for solving complex equations. Trying your hand at solving polynomial expressions, factoring, or even mixing in some real-world problems can make practice more engaging. So grab a pencil and start simplifying!