Question

Simplify the expression $\frac{45m{n}^3}{20n^7}$.

Short answer

The simplified value of expression is $\frac{9m{n}^{-4}}{4}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{45m{n}^3}{20n^7}$.

Step 2. Simplify the expression.

The given expression $\frac{45m{n}^3}{20n^7}$is simplified as:

$\begin{array}{l}\frac{45m{n}^3}{20n^7}=\frac{45\left(m{n}^3\right)}{20\left(n^7\right)}\\ =\frac{9\left(m{n}^{3-7}\right)}{4}\\ =\frac{9m{n}^{-4}}{4}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{9m{n}^{-4}}{4}$.