\( \left. \begin{array} { l } { ( 1 - \frac { 1 } { 2 } ) + ( 2 - \frac { 1 } { 2 } ) + \ldots + ( n - \frac { 1 } { 2 } ) = 72 } \\ { \Rightarrow n = ? } \end{array} \right. \)

Which is an equivalent expression for \( \left(3^{2} \cdot 5^{4}\right)^{3} ? \) \( 3^{2} \cdot 5^{12} \) \( 3^{5} \cdot 5^{7} \) \( 3^{6} \cdot 5^{12} \) \( 15^{18} \)

Evaluate \( \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} \)

Use the recursively defined geometric sequence \( a_{1}=\frac{5}{6}, a_{n}=4 a_{n-1} \) and find the common ratio. (1 point) \( 0 \frac{5}{6} \) \( 0-\frac{2}{3} \) \( 0 \frac{10}{3} \)

Evaluate \( \left(\frac{3.5^{7}}{3.5^{6}}\right)^{2} \)

8. \( \left(4^{\frac{1}{5}}\right)\left(4^{\frac{3}{10}}\right) \)