Question

Your answer should contain only positive exponents with no fractional exponents in the denpminator.Simplify.

Answer 1

Use the properties of exponents to find the simplified expression:

`\begin{gathered} \frac{m^2n^{(5)/(3)}\cdot m^{-(1)/(2)}n^{(3)/(4)}}{(mn^{(3)/(4)})^{(1)/(2)}\cdot m^{(1)/(2)}n^{(3)/(2)}} \\ \frac{m^{(3)/(2)}n^{(29)/(12)}^{}^{}}{(m^{(1)/(2)}n^{(3)/(8)})\cdot m^{(1)/(2)}n^{(3)/(2)}} \\ \frac{m^{(3)/(2)}n^{(29)/(12)}}{m^{}n^{(15)/(8)}^{}} \\ m^{(1)/(2)}n^{(13)/(24)} \end{gathered}`

The simplified expression is m^1/2 n^13/24