\( \begin{array}{l}\text { 13) Según las propiedades de la potenciación, } \\ \text { la siguiente operación da como resultado: } \\ \underline{2^{4} * 3^{4} * 3^{2} * 2^{2}} \\ 2^{3} * 2^{2 *} 3^{2}\end{array}=\begin{array}{l}\text { a. } 3^{*} 2^{3} \\ \text { b. } 7^{2} * 2^{2} \\ \text { c. } 2^{*} 3^{4} \\ \text { d. } 2^{4 * 3}\end{array} \)

3) \( Y+\left[\begin{array}{l}-1 \\ -6\end{array}\right]=\left[\begin{array}{c}10 \\ -14\end{array}\right] \)

Which of the following equations has no solution? \( \begin{array}{c}5 x+20-7 x=7(3+x)-3 x \\ x+20-5 x=7(3+x)-3 x \\ 5 x+21-x=7(3+x)-3 x \\ 5 x+20-x=7(3+x)-3 x\end{array} \)

Suppose the linear regression line \( y=3.009 x \) - 77.131 predicts a pizza parlor's profits based on the number of pizzas sold. If \( x \) represents the number of pizzas sold, and \( y \) represents the pizza partor's profits in dollars, about how much can the plizza parlor expect in profits if it sells 275 pizzas? A. \( \$ 750 \) B. \( \$ 900 \) C. \( \$ 825 \) D. \( \$ 675 \)

Which of the following equations has no solution \( \begin{array}{l}x+20-5 x=7(3+x)-3 x \\ \begin{array}{l}5 x+20-7 x=7(3+x)-3 x \\ 5 x+21-x=7(3+x)-3 x \\ 5 x+20-x=7(3+x)-3 x\end{array} \\ \begin{array}{l}5\end{array}\end{array} \$ \begin{array}{l}\text { - }\end{array} \)

e) \( (3 x+2) \cdot\left(x^{3}-2 x^{2}+1\right)= \)