Chapter 9: Q7. (page 476)

Simplify the expression $\frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{3 c}{20 b}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}}$ .

Step 2. Simplify the expression.

The given expression $\frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}}$ is simplified as:

$\begin{array}{l} \frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}} = \frac{6 a^{2} b c^{2}}{40 a^{2} b^{2} c} \\ = \frac{3 (a^{2 - 2} b^{1 - 2} c^{2 - 1})}{20} \\ = \frac{3 (a^{0} b^{- 1} c^{1})}{20} \\ = \frac{3 c}{20 b} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{3 c}{20 b}$ .

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Simplify the expression $\frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}}$ .

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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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 expression $\frac{2 a^{2}}{5 b^{2} c} \cdot \frac{3 b c^{2}}{8 a^{2}}$ .