Question

Simplify the expression$\frac{\frac{m^3}{3n}}{-\frac{m^4}{9n^2}}$

Short answer

The simplified value of expression is$-\frac{3n}{m}$

Step-by-step solution

Step 1. Write down the given expression.

The given expression is$\frac{\frac{m^3}{3n}}{-\frac{m^4}{9n^2}}$

Step 2. Simplify the expression.

The given expression $\frac{\frac{m^3}{3n}}{-\frac{m^4}{9n^2}}$is simplified as:

$\begin{array}{c}\frac{\frac{m^3}{3n}}{-\frac{m^4}{9n^2}}=\frac{m^3}{3n}\times -\frac{9n^2}{m^4}\\ =\left(-3\right)\times \frac{m^3{n}^2}{m^{4}n}\\ =-\frac{3n}{m}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$-\frac{3n}{m}$