e. \( a(-2 b)^{3} \)

Did you know that the cube of a negative number is still negative? So when you raise \(-2b\) to the power of three, you’ll actually end up with \(-8b^3\). Don't let those signs trip you up! Now, think of this expression in a real-world context. If \(a\) represents a variable quantity, like the height of a building, then multiplying \(a\) by \(-8b^3\) could represent a drastic reduction in some aspect of the building project, like its materials if you're cutting costs. Understanding the implications of changing variables can really change your perspective on a project!