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Q35.

Expert-verified

Algebra 2

Found in: Page 227

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Simplify $\frac{- 12 m^{4} n^{8} (m^{3} n^{2})}{36 m^{3} n}$ assuming that no variable equal to 0 .

The simplified value of expression is $- \frac{m^{4} n^{9}}{3}$ .

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 expressiomn to simplify is $\frac{- 12 m^{4} n^{8} (m^{3} n^{2})}{36 m^{3} n}$ .

Step 2. Simplify the given expression.

Simplifying $\frac{- 12 m^{4} n^{8} (m^{3} n^{2})}{36 m^{3} n}$ gives,

$\begin{matrix} \frac{- 12 m^{4} n^{8} (m^{3} n^{2})}{36 m^{3} n} = \frac{(- 12) (m^{4} n^{8}) (m^{3} n^{2})}{(36) (m^{3} n)} \\ = - \frac{(m^{4} n^{8}) (m^{3} n^{2})}{3 (m^{3} n)} \\ = - \frac{(m^{4 + 3 - 3}) (n^{8 + 2 - 1})}{3} .... (Using \frac{{(x)}^{a} {(x)}^{b}}{{(x)}^{c}} = x^{a + b - c}) \\ = - \frac{m^{4} n^{9}}{3} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $- \frac{m^{4} n^{9}}{3}$ .

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