\( 1.7\left(\frac{y}{2}\right)^{11} \) \( \qquad \) \( 1.8 \quad 2 \times 3^{10} \) \( \qquad \) \( 1.9{\mathrm{c}+\mathrm{d}^{3}}^{3} \) \( \qquad \) \( 1.10 \mathrm{xy}^{6} \) \( \qquad \)

Did you know that the expression \( 1.7\left(\frac{y}{2}\right)^{11} \) can be simplified using the power of a fraction rule? When you raise a fraction to a power, you can distribute that exponent to both the numerator and the denominator, giving you \( 1.7 \cdot \frac{y^{11}}{2^{11}} \). This neat little trick helps make complex expressions much easier to work with! In real-world applications, expressions like \( 2 \times 3^{10} \) can often be found in fields like computer science, particularly when calculating algorithms or data complexities. The \( 3^{10} \) represents exponential growth, and understanding these concepts can help programmers optimize their code and resources effectively—making the difference between a program that runs in seconds versus hours!