Multiply. \[ \frac{4(x+6)}{(x-2)} \cdot \frac{(x+10)}{24(x+6)} \] Enter your answer. in simplest form, in the box.

Si \( a = 4 \), ¿cuál es el valor de \( a^2 \)?

Solve the exponential equation: \( 3^{2x} = 81 \)

a \( \frac{x^{3}-3 x^{2}+5}{x^{2}} \)

Exercise 3.17 Determine if each one of the following system of linear equations has unique solution, no solution or infinitely many solutions. \( \begin{array}{ccc}x-y=1 & \text { b. } \begin{array}{c}x+y=1 \\ 2 x+3 y=4\end{array} & \begin{array}{c}x-2 y=1 \\ x+y=5\end{array} \\ \begin{array}{l}\text { a. } \\ x+4 y=2\end{array}\end{array} \)

\( f(x)=\frac{x+k}{x-1} \) and \( (5,2) \in f^{-1} \), then \( K= \)