e) \( -(-5)^{3}= \) f) \( \left(-\frac{3}{4}\right)^{3}= \) g) \( -\frac{3^{3}}{4}= \)

Did you know that the operation of exponents dates back to the ancient civilizations such as the Babylonians and Egyptians? They had their own ways of calculating large numbers and understood the basic principles of squaring and cubing numbers long before the modern notation was developed. It shows just how fundamental these mathematical concepts are! In real-world applications, understanding negative exponents and cubed numbers can be critical in various scientific fields, like physics and engineering. For instance, when calculating forces or electrical components, recognizing how these operations affect your outcomes can help in predicting material behavior or energy consumption. Math is not just about numbers; it's a tool to unlock the mysteries of the universe!