Q37. - Algebra 2

Question

Simplify the expression $\frac{\frac{p^3}{2q}}{-\frac{p^2}{4q}}$

Step-by-Step Solution

Answer

The simplified value of expression is $-2p$ .

Step 1. Write down the given expression.

The given expression is $\frac{\frac{p^3}{2q}}{-\frac{p^2}{4q}}$

Step 2. Simplify the expression.

The given expression $\frac{\frac{p^3}{2q}}{-\frac{p^2}{4q}}$is simplified as:

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

Step 3. Conclusion.

The simplified value of expression is $-2p$.