2. \( \left(k^{3}\right)^{\frac{x}{2}} \)

When you raise a power to another power, you simply multiply the exponents. So in the case of \( \left(k^{3}\right)^{\frac{x}{2}} \), you would multiply 3 by \( \frac{x}{2} \), resulting in \( k^{\frac{3x}{2}} \). It’s a powerful rule that keeps the math flowing smoothly! Now, think about how this can apply outside of math! In real-life situations, like building a structure or designing a product, your foundational elements often need to scale in a similar way—every tweak in size can exponentially influence the final outcome. Understanding how powers and exponents relate can help you forecast changes and manage those variables effectively!