Q15. - Algebra 2

Question

Simplify the expression $\frac{-3m{n}^4}{21m^2{n}^2}$.

Step-by-Step Solution

Answer

The simplified value of expression is $-\frac{n^2}{7m}$.

Step 1. Write down the given expression.

The given expression is$\frac{-3m{n}^4}{21m^2{n}^2}$.

Step 2. Simplify the expression.

The given expression $\frac{-3m{n}^4}{21m^2{n}^2}$ is simplified as:

$\begin{array}{l}\frac{-3m{n}^4}{21m^2{n}^2}=-\frac{m{n}^4}{7m^2{n}^2}\\ =-\frac{m^{1-2}{n}^{4-2}}{7}\\ =-\frac{m^{-1}{n}^2}{7}\\ =-\frac{n^2}{7m}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $-\frac{n^2}{7m}$.