Write each of the following expressions in the form $ca^pb^q$ where $c$, $p$, $q$ are numbers:
$\dfrac{(2a^2)^3}{b}$ solved
$\sqrt{9ab^3}$ solved
$\dfrac{a(2/b)}{3/a}$ solved
$\dfrac{ab-a}{b^2-b}$ I tried and got to, $(ab-a)(b^2-b)^{-1}$. I know I'm supposed to bring $b^2-b$ to the top somehow because the answer calls for no fractions. That's all I have for that one.
$\dfrac{a^{-1}}{b^{-1}\sqrt{a}}$ I've figured out that $\sqrt(a) = a^{\frac{1}{2}}$. I also brought $b$ to the top and $a$ to the bottom to acquire; $1b^1/1a^1(a^{\frac{1}{2}})$. That's as far as I've gotten on that problem.
$\left(\dfrac{a^{2/3}}{b^{1/2}}\right)^2 \cdot \dfrac{b^{3/2}}{a^{1/2}}$ I am completely clueless on this one. Any help would be accepted.