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When you raise a power to another power, you simply multiply the exponents. So in your case, \( \left(k^{5}\right)^{2} \) becomes \( k^{5 \times 2} \), which simplifies to \( k^{10} \). It’s like adding extra frosting to your cake; the more layers you have, the sweeter it gets! In real-world scenarios, understanding exponents is super handy! Whether you're calculating areas in geometry or dealing with exponential growth in populations or investments, knowing how to manipulate exponents like \( \left(k^{5}\right)^{2} \) is crucial. It’s like being equipped with a magical calculator that turns complex problems into simpler ones at the snap of your fingers!