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Q25.

Expert-verified
Found in: Page 476

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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

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

See the step by step solution

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:

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

Step 3. Conclusion.

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

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