Question

Express the following fraction in simplest form, only using positive exponents. 5 3(v1) 2v-1

Answer 1

$\begin{gathered} \frac{-3(v^{-1})^5}{2v^{-1}}\text{ = -}\frac{3}{2}\frac{(v^{-5})}{v^{-1}}\text{ } \\ =-\frac{3}{2}(v^{-5-(-1))})\text{ =-}\frac{3}{2}(v^{-5+1})=-\frac{3}{2}v^{-4} \end{gathered}$

So we brought the numbers out and worked on v alone