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Q15.

Expert-verified

Algebra 2

Found in: Page 476

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given expression.

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

Step 2. Simplify the expression.

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

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

Step 3. Conclusion.

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

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