\( \frac{3^{10}}{3^{7}} \) \( \begin{array}{ll}\text { a. } 3^{-3} & \text { b. } 1^{3} \\ \text { c. } 3^{3} & \text { d. } 3^{7}\end{array} \)

To simplify \( \frac{3^{10}}{3^{7}} \), you can apply the property of exponents that states when you divide two exponential terms with the same base, you subtract the exponents: \( 3^{10-7} = 3^{3} \). So, the answer is \(\text{c. } 3^{3}\). This concept has a real-world application in fields like physics and finance, where exponents help model growth patterns, such as compound interest and population dynamics. Understanding how to manipulate exponents makes calculations simpler and helps you grasp the underlying principles more effectively!