Chapter 9: Q36. (page 477)

Simplify the expression $\frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}}$

Short Answer

Expert verified

The simplified value of expression is $- \frac{3 n}{m}$

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}}$

Step 2. Simplify the expression.

The given expression $\frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}}$ is simplified as:

$\begin{matrix} \frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}} = \frac{m^{3}}{3 n} \times - \frac{9 n^{2}}{m^{4}} \\ = (- 3) \times \frac{m^{3} n^{2}}{m^{4} n} \\ = - \frac{3 n}{m} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $- \frac{3 n}{m}$

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Simplify the expression $\frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}}$

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expressionm33n−m49n2

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Most popular questions from this chapter

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Simplify the expression $\frac{\frac{m^{3}}{3 n}}{- \frac{m^{4}}{9 n^{2}}}$