The value of \( \frac{9^{x}\left(9^{x-1}\right)^{x}}{9^{x+1} \cdot 3^{2 x-2}}\left\{\frac{729^{\frac{1}{3}}}{81}\right\}^{-x} \div \frac{3^{a}-2^{3} \cdot 3^{a-2}}{3^{a}-3^{a-1}} \)

10. if \( p(x)=3 x^{2} \) And \( q(x)=x^{2}+x \), then what is the solution set of \( \frac{p(x)}{3 q(x)}-\frac{1}{x}=\frac{1}{q(x)} \) A, \( \{-1,2\} \quad \quad \) C, \( \{-3,2\} \) 11. What is the partial decomposition of \( \frac{\left(x^{2}+x+1\right)}{(x+2)\left(x^{2}+1\right)} \) A, \( \frac{\frac{2}{5}(x+2)+(3 x+1)}{5\left(x^{2}+1\right)} \) B, \( \frac{\frac{5}{3}(x+2)+(2 x+1)}{3\left(x^{2}+1\right)} \) C, \( \frac{\frac{3}{5}(x+2)+(2 x+1)}{5\left(x^{2}+1\right)} \) D, \( \frac{\frac{2}{3}(x+2)+(3 x+1)}{3\left(x^{2}+1\right)} \)

if \( A=[a v]_{2 \times 2} \) and \( a i j=\left\{\begin{array}{l}{\left[\frac{j-1}{2}\right] \quad i<j} \\ 2 \quad i=j \\ {\left[\frac{j+i}{2}\right] \quad i>j}\end{array}\right] \) what is the sum of the fields of matris A) \( 4 \times 2^{15} \) B) \( 4 \times 2^{30} \) C) \( 19 \times 2^{14} \) D) \( 15 \times 2^{14} \)

The degree of the algebraic term \( 2 x^{3} y^{2} \) is the

\( C(n, 2)=3 \cdot C(n, 3) \) olduğuna göre, \( C(n, 2) \) kaçtır? \( \begin{array}{llll}\text { A) } 2 & \text { B) } 3 & \text { C) } 4 & \text { D) } 5\end{array} \)

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