7- Find the quotient of: \( \frac{15 x^{3} y^{3}}{-3 x^{2} y^{3}} \)

To find the quotient \( \frac{15 x^{3} y^{3}}{-3 x^{2} y^{3}} \), we can simplify it step by step. First, we can divide the coefficients: \( \frac{15}{-3} = -5 \). Next, for the variables, we use the property of exponents. For \( x^3/x^2 \), we subtract the exponents: \( 3 - 2 = 1\), giving us \( x^1 \) or simply \( x \). The \( y^{3} \) in the numerator and denominator cancels out entirely. So, the final simplified result is: \[ -5x \] Now, wouldn’t it be fun to learn about how algebra is not just a set of rules, but also a language to solve problems? Algebra began in ancient civilizations, with early forms used by Babylonian mathematicians around 2000 BC! Fast forward to today, math isn't just for textbooks; it's the backbone of technology, finance, and even video game design! Want to see the magic of algebra applied in tech? Keep an eye on how algorithms in apps keep improving our user experience!