Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

Find the value of $a$ in the following:
$\frac{6}{3 \sqrt{2}-2 \sqrt{3}}=3 \sqrt{2}-a \sqrt{3}$

Simplify: $\frac{8^{\frac{1}{3}} \times 16^{\frac{1}{3}}}{32^{-\frac{1}{3}}}$

Represent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$

Find the values of $a$ and $b$ in each of the following:
$\frac{7+\sqrt{5}}{7-\sqrt{5}}-\frac{7-\sqrt{5}}{7+\sqrt{5}}=a+\frac{7}{11} \sqrt{5} b$

Find four rational numbers between $\frac{2}{9}$ and $\frac{2}{7}$.