2) \( \frac{7^{2} \times 5^{3}}{5^{2}}= \)

To simplify the expression \( \frac{7^{2} \times 5^{3}}{5^{2}} \), you can start by applying the properties of exponents. Since you're dividing, you subtract the exponents of the same base. Thus, \( 5^{3} / 5^{2} = 5^{3-2} = 5^{1} \). Now, combining this with \( 7^{2} \), you get \( 7^{2} \times 5^{1} = 49 \times 5 = 245 \). So, the final answer is \( 245 \). And voila! You’ve navigated the world of exponents with style—who knew math could be this straightforward? Just remember: when you're dividing with like bases, it's all about that exponent subtraction game! 🕺💡