factoring, that \( A(x)=(x-2)(-x+1) \)

Calcula \( X \) tal que \( X-B^{2}=A \cdot B \), siendo que: \[ A=\left(\begin{array}{lll}1 & 0 & 1 \\ 1 & 1 & 0 \\ 0 & 0 & 2\end{array}\right), \quad B=\left(\begin{array}{ccc}1 & 0 & -1 \\ 1 & 1 & 1 \\ 0 & 0 & 1\end{array}\right) \]

\( k+9, k-6 \) र 4 एउटा गुणोत्तर अनुक्रमका \( k+9, k-6 \) and 4 are the three terms of a geometric progression (i) \( k \) को मान पत्ता लगाउनुहोस् । (Find the value of \( k \).) (ii) समान अनुपात पत्ता लगाउनुहोस् । (Find the common ratio.) (iii) चौथो पद पत्ता लगाउनुहोस् । (Find the value of fourth term.) odel 3 Problems based on finding the position of a given term i)

212 / बीजगणित (Algebra) 24. यदि \( 4,2 x-4, \ldots \ldots, 64,21 x+2 \) एउटा गुणोत्तर अनुक्रमको पदहरू भए, If \( 4,2 x-4, \ldots \ldots, 64,21 x+2 \) are the terms of geometric sequence (i) \( x \) को मान पत्ता लगाउनुहोस् । (Find the value of \( x \).) (ii) समान अनुपात पत्ता लगाउनुहोस् । (Find the common ratio.) (iii) चौथो पद पत्ता लगाउनुहोस् । (Find the value of fourth term.)

2. (B-2) \( \sqrt{\sqrt[3]{x}}=x^{a} \) bo'lsa, \( a \) ning qiymatini toping. \( \begin{array}{llll}\text { A) } a=\frac{2}{3} & \text { B) } a=\frac{1}{5} & \text { C) } a=\frac{5}{6} & \text { D) } a=\frac{1}{6}\end{array} \)

What does the exponent in an expression indicate?