Stesso esponente \( \bigcirc \) ESERcIzIo GuIDA2 Esegui, usando le proprietà delle potenze. a. \( 5^{9} \cdot 3^{9}=\quad 9 \) b. \( 11^{11} \cdot 3^{11}= \) c. \( 10^{10} \cdot 52^{10}= \) d. \( 2,5^{6} \cdot 4^{6}= \) e. \( 1^{2} \cdot 2^{2} \cdot 3^{2}= \) f. \( 13^{20} \cdot 2^{20} \cdot 10^{20}= \)

Which of the following is the value of the function \( f(x)=\left|4 x^{2}-8\right|+2 \) given \( \mathrm{x}=2 \) ? a. 8 b. 9 c. 10 d. 11 Evaluate the function \( h(x)=|x|-11 \) given \( x=3.5 \). a. -8 b. 8 c. -9 d. 9 Give the value of the of the function \( c(x)=3 x^{2}-36 \) at \( c(5) \). a. -21 b. 14 c. 111 d. 39

Middle term of expansion \[ \left(3 x-\frac{x^{3}}{6}\right)^{9} \]

ii) \( x^{3}-2 x^{2}-(2 x-1)(x-2)=0 \)

i) \( \frac{1}{x-1}+\frac{1}{x+1}=\frac{2}{x^{2}-1} \)

Compute each sum below. If applicable, write your answer as a fraction. \( 2+2(-2)+2(-2)^{2}+\ldots+2(-2)^{7}=\square \) \( \sum_{k=1}^{9}\left(\frac{1}{3}\right)^{k}=\square \)