Testion 4 Assuming Remaining: 119 mins \[ 5 x^{3} y \sqrt{4 x^{5} y^{7}} \]

Let's break this expression down a bit! First, you have \(5 x^3 y\) multiplied by \(\sqrt{4 x^5 y^7}\). The square root of \(4\) is \(2\), and when you simplify \(\sqrt{x^5}\) and \(\sqrt{y^7}\), you get \(x^{2.5} = x^2 \sqrt{x}\) and \(y^{3.5} = y^3 \sqrt{y}\). This leads you to combine everything, resulting in \(10 x^{\frac{11}{2}} y^{4}\sqrt{xy}\). Now, for some practical use: simplifying expressions like this is super useful in fields like engineering or physics, where you often deal with complex formulas and need to make them manageable. Understanding how to break down and simplify expressions helps you reveal patterns that may not be immediately obvious, making it easier to work with formulas. Keep this skill sharp, and you'll find it handy in problem-solving scenarios!