Q25. - Algebra 2

Question

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

Step-by-Step Solution

Answer

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

Step 1. Write down the given expression.

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

Step 2. Simplify the expression.

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

$\begin{array}{l}\frac{p^3}{2q}÷\frac{-p}{4q}=\frac{p^3}{2q}\times -\frac{4q}{p}\\ =-\frac{4}{2}\times \frac{p^{3}q}{pq}\\ =-2\cdot p^2{q}^0\\ =-2p^2\end{array}$

Step 3. Conclusion.

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