Question

((a^-1)/ (b^-1) square root a)
Write each of the following expressions in the form ca^pb^q where c, p, and q are numbers.

Answer 1

So the problem ask to calculate and covert the said equation or expression to the form of ca^pb^q where as all of the variables is a number. So base in that information and following some formula, the answer would be a^(-3/2)b. I hope you are satisfied with my answer 

Answer 2

Answer:

$\rightarrow \frac{a^{-1}}{b^{-1}\times \sqrt{a}}\\\\\rightarrow \frac{a^{-1}}{b^{-1}\times a^{\frac{1}{2}}}\\\\\rightarrow a^{-1-\frac{1}{2}} \times b^1\\\\=a^{\frac{-3}{2}} \times b\\\\\rightarrow ca^pb^q=a^{\frac{-3}{2}} \times b\\\\c=1\\\\p=\frac{-3}{2}\\\\q=1$