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Chapter 9: Q36. (page 477)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Write down the given expression.

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

02

Step 2. Simplify the expression.

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

$\begin{matrix} \frac{\frac{m^{3}}{3 n}}{鈭� \frac{m^{4}}{9 n^{2}}} = \frac{m^{3}}{3 n} 脳鈭� \frac{9 n^{2}}{m^{4}} \\ = (鈭� 3) 脳 \frac{m^{3} n^{2}}{m^{4} n} \\ = 鈭� \frac{3 n}{m} \end{matrix}$

03

Step 3. Conclusion.

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

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