5. ¿Cuál de estas potencić \( \left(\frac{2}{3}\right)^{5} \cdot\left(\frac{2}{3}\right)^{3} ? \)

1a. Calculate the next two terins of each of the following sequences \( \begin{array}{ll}\text { (a) } 11,8,5, \ldots & \text { (d) } 4,9,14, \ldots \\ \text { (c) } 3 \frac{1}{2}, 3 \frac{1}{2}, 7,5,10 \frac{1}{2}, \ldots & \text { (e) } 1,5,9,13, \ldots\end{array} \)

Which of the following is the value of \( \log 10^{20} \) ? (1 point) \( \frac{1}{2} \) 2 200 20

Simplify. \( 9^{\frac{3}{2}} \)

Consider the following function. \[ f(x)=1-x^{2 / 3} \] Find \( f(-1) \) and \( f(1) \) \( f(-1)=\square \) \( f(1)=\square \)

What value is equivalent to \( \log _{2} 13 \) to the nearest thousandth? Use the change of base formula to determine your answer. (1 point) 0.270 3.700 0.813 0.557